premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
Everyone who is calm or not rich is either quiet or not curious.
Everyone who is not kind is both not wise and not curious and vice versa.
Everyone who is either old or not happy is both not wise and kind.
Everyone who is happy is curious or not curious.
Everyone who is strong or not generous is both patient and not ha... | Lucy is not rich. | contradiction | (![X]:((calm(X)|~rich(X))=>(quiet(X)<~>~curious(X))))&
(![X]:(~kind(X)<=>(~wise(X)&~curious(X))))&
(![X]:((old(X)<~>~happy(X))=>(~wise(X)&kind(X))))&
(![X]:(happy(X)=>(curious(X)|~curious(X))))&
(![X]:((strong(X)|~generous(X))=>(patient(X)&~happy(X))))&
(![X]:((~wise(X)&generous(X))<=>(patient(X)<~>~kind(X))))&
(![X]:(... | ~rich(lucy) | [
"p0",
"p1",
"p2",
"p4",
"p5",
"p6",
"p10",
"p12",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3967813592415305723631285
% SZS output start Proof for 3967813592415305723631285
1. ! [X0] : ((~rich(X0) | calm(X0)) => (quiet(X0) <~> ~curious(X0))) [input p0]
2. ! [X0] : (~kind(X0) <=> (~curious(X0) & ~wise(X0))) [input p1]
3. ! [X0] : ((old(X0) <~> ~happy(X0)) => (kind(X0) & ~wise(X0)... | 0 |
Everyone who is not curious or creative is not curious and vice versa. If someone is either curious or not funny then paul is curious or not wise. If someone is either not wise or not humble then someone is both not quiet and not old and vice versa. Everyone who is not creative or not brave is either old or not humble.... | Mary is not calm. | contradiction | (![X]:((~curious(X)|creative(X))<=>~curious(X)))&
((?[X]:((curious(X)<~>~funny(X))))=>((curious(paul)|~wise(paul))))&
((?[X]:((~wise(X)<~>~humble(X))))<=>(?[X]:((~quiet(X)&~old(X)))))&
(![X]:((~creative(X)|~brave(X))=>(old(X)<~>~humble(X))))&
(((rich(susan)|~quiet(susan)))<=>((~creative(susan)<~>~kind(susan))))&
(![X]:... | ~calm(mary) | [
"p3",
"p6",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4590341071134033208109426
% SZS output start Proof for 4590341071134033208109426
4. ! [X0] : ((~brave(X0) | ~creative(X0)) => (old(X0) <~> ~humble(X0))) [input p3]
7. ! [X0] : ((humble(X0) & ~calm(X0)) => (~old(X0) & generous(X0))) [input p6]
11. (old(mary) & ~patient(mary)) <=> ? [X0] : ... | 0 |
Everyone who is both strong and not wise is either not curious or strong and vice versa.
If someone is quiet then lucy is both not wise and not creative and vice versa.
Everyone who is both not happy and happy is not old or quiet.
Everyone who is not patient is not curious and vice versa.
Everyone who is funny or curio... | Fred is not humble. | entailment | (![X]:((strong(X)&~wise(X))<=>(~curious(X)<~>strong(X))))&
((?[X]:(quiet(X)))<=>((~wise(lucy)&~creative(lucy))))&
(![X]:((~happy(X)&happy(X))=>(~old(X)|quiet(X))))&
(![X]:(~patient(X)<=>~curious(X)))&
(![X]:((funny(X)|curious(X))<=>~humble(X)))&
(![X]:((~wise(X)<~>kind(X))<=>(wise(X)|rich(X))))&
(![X]:((~strong(X)|~qui... | ~humble(fred) | [
"p0",
"p1",
"p4",
"p6",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1304471867734250781932418
% SZS output start Proof for 1304471867734250781932418
1. ! [X0] : ((~wise(X0) & strong(X0)) <=> (~curious(X0) <~> strong(X0))) [input p0]
2. ? [X0] : quiet(X0) <=> (~creative(lucy) & ~wise(lucy)) [input p1]
5. ! [X0] : ((curious(X0) | funny(X0)) <=> ~humble(X0))... | 0 |
Everyone who is creative or not happy is both not tall and calm and vice versa.
Everyone who is not funny or not humble is not generous or curious and vice versa.
If someone is humble then mary is either not happy or not brave and vice versa.
Everyone who is curious is not generous or not creative.
Everyone who is eith... | Lucy is calm. | entailment | (![X]:((creative(X)|~happy(X))<=>(~tall(X)&calm(X))))&
(![X]:((~funny(X)|~humble(X))<=>(~generous(X)|curious(X))))&
((?[X]:(humble(X)))<=>((~happy(mary)<~>~brave(mary))))&
(![X]:(curious(X)=>(~generous(X)|~creative(X))))&
(![X]:((~calm(X)<~>~brave(X))=>(patient(X)&~kind(X))))&
(![X]:(~patient(X)<=>(~wise(X)<~>humble(X)... | calm(lucy) | [
"p0",
"p1",
"p2",
"p5",
"p6",
"p7",
"p12",
"p13",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7554217429601066806741841
% SZS output start Proof for 7554217429601066806741841
1. ! [X0] : ((~happy(X0) | creative(X0)) <=> (calm(X0) & ~tall(X0))) [input p0]
2. ! [X0] : ((~humble(X0) | ~funny(X0)) <=> (curious(X0) | ~generous(X0))) [input p1]
3. ? [X0] : humble(X0) <=> (~happy(mary) <... | 0 |
If someone is old then paul is both not calm and quiet and vice versa. Everyone who is not tall or old is quiet. If someone is both not quiet and quiet then someone is strong or not humble and vice versa. If john is either not patient or wise then alice is kind. Everyone who is curious is kind or old. Everyone who is n... | Susan is happy. | entailment | ((?[X]:(old(X)))<=>((~calm(paul)&quiet(paul))))&
(![X]:((~tall(X)|old(X))=>quiet(X)))&
((?[X]:((~quiet(X)&quiet(X))))<=>(?[X]:((strong(X)|~humble(X)))))&
(((~patient(john)<~>wise(john)))=>(kind(alice)))&
(![X]:(curious(X)=>(kind(X)|old(X))))&
(![X]:((~humble(X)|happy(X))<=>~patient(X)))&
(![X]:((curious(X)<~>~rich(X))<... | happy(susan) | [
"p2",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 4571736997069275871264531
% SZS output start Proof for 4571736997069275871264531
3. ? [X0] : (quiet(X0) & ~quiet(X0)) <=> ? [X0] : (~humble(X0) | strong(X0)) [input p2]
8. ! [X0] : ((~happy(X0) | quiet(X0)) <=> (~quiet(X0) & strong(X0))) [input p7]
24. ~happy(susan) [input hypothesis]
25.... | 0 |
Everyone who is not happy is either not curious or rich and vice versa.
Everyone who is not curious or not kind is either not brave or curious and vice versa.
If someone is either not generous or tall then someone is generous and vice versa.
Everyone who is either calm or old is patient and vice versa.
Everyone who is ... | Fred is tall. | neutral | (![X]:(~happy(X)<=>(~curious(X)<~>rich(X))))&
(![X]:((~curious(X)|~kind(X))<=>(~brave(X)<~>curious(X))))&
((?[X]:((~generous(X)<~>tall(X))))<=>(?[X]:(generous(X))))&
(![X]:((calm(X)<~>old(X))<=>patient(X)))&
(![X]:((~creative(X)<~>wise(X))=>(patient(X)|brave(X))))&
((brave(fred))=>(?[X]:((~old(X)<~>~curious(X)))))&
(((... | tall(fred) | [] | null | 0 |
Everyone who is patient or creative is not patient and vice versa. If someone is generous then someone is brave and vice versa. Everyone who is both old and happy is both not patient and not strong. Everyone who is not patient is both not rich and curious. Everyone who is happy is either not strong or not generous. If ... | John is not old. | entailment | (![X]:((patient(X)|creative(X))<=>~patient(X)))&
((?[X]:(generous(X)))<=>(?[X]:(brave(X))))&
(![X]:((old(X)&happy(X))=>(~patient(X)&~strong(X))))&
(![X]:(~patient(X)=>(~rich(X)&curious(X))))&
(![X]:(happy(X)=>(~strong(X)<~>~generous(X))))&
(((brave(john)&~humble(john)))<=>(?[X]:((~rich(X)&~humble(X)))))&
((?[X]:((stron... | ~old(john) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5289160446191122694103034
% SZS output start Proof for 5289160446191122694103034
13. ! [X0] : ((old(X0) | tall(X0)) => (~old(X0) & humble(X0))) [input p12]
22. old(john) [input hypothesis]
34. ! [X0] : ((~old(X0) & humble(X0)) | (~old(X0) & ~tall(X0))) [ennf transformation 13]
101. ~old(X... | 0 |
Everyone who is not calm is not funny or not patient and vice versa.
If john is either not quiet or not patient then lucy is tall or not tall and vice versa.
If someone is not brave then fred is not rich or not wise.
If fred is calm or tall then someone is both wise and calm and vice versa.
If susan is both quiet and n... | Fred is not kind. | neutral | (![X]:(~calm(X)<=>(~funny(X)|~patient(X))))&
(((~quiet(john)<~>~patient(john)))<=>((tall(lucy)|~tall(lucy))))&
((?[X]:(~brave(X)))=>((~rich(fred)|~wise(fred))))&
(((calm(fred)|tall(fred)))<=>(?[X]:((wise(X)&calm(X)))))&
(((quiet(susan)&~quiet(susan)))=>(?[X]:((~strong(X)&curious(X)))))&
((?[X]:((generous(X)|funny(X))))... | ~kind(fred) | [] | null | 0 |
Everyone who is rich is both creative and old and vice versa.
If someone is both happy and not funny then someone is not creative and vice versa.
Everyone who is either not quiet or calm is not creative.
Everyone who is quiet is both curious and not generous.
Everyone who is strong or rich is old or not calm.
Everyone ... | Fred is happy. | neutral | (![X]:(rich(X)<=>(creative(X)&old(X))))&
((?[X]:((happy(X)&~funny(X))))<=>(?[X]:(~creative(X))))&
(![X]:((~quiet(X)<~>calm(X))=>~creative(X)))&
(![X]:(quiet(X)=>(curious(X)&~generous(X))))&
(![X]:((strong(X)|rich(X))=>(old(X)|~calm(X))))&
(![X]:((rich(X)|tall(X))=>generous(X)))&
(((~wise(mary)&funny(mary)))<=>(~humble(... | happy(fred) | [] | null | 0 |
Everyone who is quiet or not quiet is both not generous and humble and vice versa. If mary is rich then lucy is not old. Everyone who is not happy or creative is either calm or old. Everyone who is creative or not creative is both not brave and not calm. If someone is either not quiet or tall then someone is either hum... | Fred is generous. | contradiction | (![X]:((quiet(X)|~quiet(X))<=>(~generous(X)&humble(X))))&
((rich(mary))=>(~old(lucy)))&
(![X]:((~happy(X)|creative(X))=>(calm(X)<~>old(X))))&
(![X]:((creative(X)|~creative(X))=>(~brave(X)&~calm(X))))&
((?[X]:((~quiet(X)<~>tall(X))))<=>(?[X]:((humble(X)<~>~kind(X)))))&
((?[X]:((brave(X)|funny(X))))=>((brave(fred)<~>~fun... | generous(fred) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 2165953084487930496269851
% SZS output start Proof for 2165953084487930496269851
1. ! [X0] : ((~quiet(X0) | quiet(X0)) <=> (humble(X0) & ~generous(X0))) [input p0]
22. generous(fred) [input hypothesis]
34. ! [X0] : (((~quiet(X0) | quiet(X0)) | (~humble(X0) | generous(X0))) & ((humble(X0) ... | 0 |
If someone is not wise then fred is not kind or strong and vice versa.
If lucy is either not wise or patient then mary is not generous.
Everyone who is not calm is both not brave and kind and vice versa.
If someone is either funny or creative then alice is either not curious or wise and vice versa.
If someone is not ki... | Paul is not humble. | neutral | ((?[X]:(~wise(X)))<=>((~kind(fred)|strong(fred))))&
(((~wise(lucy)<~>patient(lucy)))=>(~generous(mary)))&
(![X]:(~calm(X)<=>(~brave(X)&kind(X))))&
((?[X]:((funny(X)<~>creative(X))))<=>((~curious(alice)<~>wise(alice))))&
((?[X]:(~kind(X)))=>((humble(john)&~humble(john))))&
(![X]:((~funny(X)<~>quiet(X))=>~wise(X)))&
((?[... | ~humble(paul) | [] | null | 0 |
If someone is not funny then alice is not generous or not brave and vice versa.
If someone is not brave then someone is either happy or quiet and vice versa.
If john is both not old and not happy then mary is not quiet or creative.
If fred is tall or not tall then someone is not humble and vice versa.
If someone is eit... | Lucy is patient. | entailment | ((?[X]:(~funny(X)))<=>((~generous(alice)|~brave(alice))))&
((?[X]:(~brave(X)))<=>(?[X]:((happy(X)<~>quiet(X)))))&
(((~old(john)&~happy(john)))=>((~quiet(mary)|creative(mary))))&
(((tall(fred)|~tall(fred)))<=>(?[X]:(~humble(X))))&
((?[X]:((~old(X)<~>~curious(X))))=>(?[X]:(~wise(X))))&
((?[X]:((happy(X)|curious(X))))=>((... | patient(lucy) | [
"p8",
"p11",
"p12",
"p13",
"p14",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8881140399980732581158461
% SZS output start Proof for 8881140399980732581158461
9. ! [X0] : (curious(X0) <=> (creative(X0) | rich(X0))) [input p8]
12. ! [X0] : ((~strong(X0) <~> humble(X0)) <=> (funny(X0) | ~patient(X0))) [input p11]
13. ! [X0] : ((~rich(X0) <~> patient(X0)) <=> (strong(... | 0 |
If someone is both not funny and not rich then susan is either quiet or strong and vice versa.
If someone is either not brave or humble then susan is both not kind and not old and vice versa.
Everyone who is quiet or not quiet is both generous and old.
If someone is both not generous and not tall then someone is either... | John is not curious. | entailment | ((?[X]:((~funny(X)&~rich(X))))<=>((quiet(susan)<~>strong(susan))))&
((?[X]:((~brave(X)<~>humble(X))))<=>((~kind(susan)&~old(susan))))&
(![X]:((quiet(X)|~quiet(X))=>(generous(X)&old(X))))&
((?[X]:((~generous(X)&~tall(X))))=>(?[X]:((~happy(X)<~>~curious(X)))))&
(((~funny(fred)&humble(fred)))<=>(?[X]:((~patient(X)<~>~funn... | ~curious(john) | [
"p1",
"p2",
"p5",
"p6",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6125028640219219231521231
% SZS output start Proof for 6125028640219219231521231
2. ? [X0] : (~brave(X0) <~> humble(X0)) <=> (~old(susan) & ~kind(susan)) [input p1]
3. ! [X0] : ((~quiet(X0) | quiet(X0)) => (old(X0) & generous(X0))) [input p2]
6. ! [X0] : ((funny(X0) & wise(X0)) => (~old(X... | 0 |
Everyone who is both not brave and not humble is quiet or not tall and vice versa. Everyone who is either not brave or patient is both old and kind and vice versa. Everyone who is not curious is not quiet. Everyone who is not brave or not humble is either patient or not humble and vice versa. Everyone who is happy or n... | Alice is not creative. | contradiction | (![X]:((~brave(X)&~humble(X))<=>(quiet(X)|~tall(X))))&
(![X]:((~brave(X)<~>patient(X))<=>(old(X)&kind(X))))&
(![X]:(~curious(X)=>~quiet(X)))&
(![X]:((~brave(X)|~humble(X))<=>(patient(X)<~>~humble(X))))&
(![X]:((happy(X)|~calm(X))<=>(~wise(X)<~>~old(X))))&
(![X]:((~wise(X)|humble(X))=>happy(X)))&
(![X]:((strong(X)|~gene... | ~creative(alice) | [
"p0",
"p1",
"p3",
"p4",
"p5",
"p6",
"p8",
"p10",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5815079463962235717786634
% SZS output start Proof for 5815079463962235717786634
1. ! [X0] : ((~humble(X0) & ~brave(X0)) <=> (~tall(X0) | quiet(X0))) [input p0]
2. ! [X0] : ((~brave(X0) <~> patient(X0)) <=> (kind(X0) & old(X0))) [input p1]
4. ! [X0] : ((~humble(X0) | ~brave(X0)) <=> (pati... | 0 |
Everyone who is both not generous and wise is either not curious or happy and vice versa. Everyone who is not happy or rich is not funny or rich. Everyone who is both not kind and old is both creative and not quiet and vice versa. Everyone who is not calm or not happy is either not strong or funny and vice versa. Every... | Mary is not wise. | neutral | (![X]:((~generous(X)&wise(X))<=>(~curious(X)<~>happy(X))))&
(![X]:((~happy(X)|rich(X))=>(~funny(X)|rich(X))))&
(![X]:((~kind(X)&old(X))<=>(creative(X)&~quiet(X))))&
(![X]:((~calm(X)|~happy(X))<=>(~strong(X)<~>funny(X))))&
(![X]:((rich(X)|~old(X))=>(~tall(X)|~calm(X))))&
(![X]:((old(X)|~curious(X))=>creative(X)))&
(![X]... | ~wise(mary) | [] | null | 0 |
If paul is not strong or not generous then fred is not patient and vice versa.
Everyone who is both not curious and humble is old or not rich and vice versa.
Everyone who is happy is not humble and vice versa.
Everyone who is generous or not creative is either not rich or calm.
If someone is either tall or not calm the... | Alice is not old. | contradiction | (((~strong(paul)|~generous(paul)))<=>(~patient(fred)))&
(![X]:((~curious(X)&humble(X))<=>(old(X)|~rich(X))))&
(![X]:(happy(X)<=>~humble(X)))&
(![X]:((generous(X)|~creative(X))=>(~rich(X)<~>calm(X))))&
((?[X]:((tall(X)<~>~calm(X))))=>(?[X]:((~generous(X)|~tall(X)))))&
(![X]:((creative(X)|~humble(X))=>(~funny(X)<~>old(X)... | ~old(alice) | [
"p1",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 3437204444163731771349688
% SZS output start Proof for 3437204444163731771349688
2. ! [X0] : ((humble(X0) & ~curious(X0)) <=> (~rich(X0) | old(X0))) [input p1]
10. ? [X0] : (~calm(X0) | ~old(X0)) <=> (old(john) & ~creative(john)) [input p9]
11. ! [X0] : ((humble(X0) | generous(X0)) => cre... | 0 |
If someone is not generous then fred is either not patient or not kind and vice versa.
If someone is not generous then paul is both calm and not tall.
Everyone who is not old is calm or not rich and vice versa.
If someone is not patient then alice is creative or not funny and vice versa.
If someone is either old or cre... | Lucy is wise. | entailment | ((?[X]:(~generous(X)))<=>((~patient(fred)<~>~kind(fred))))&
((?[X]:(~generous(X)))=>((calm(paul)&~tall(paul))))&
(![X]:(~old(X)<=>(calm(X)|~rich(X))))&
((?[X]:(~patient(X)))<=>((creative(alice)|~funny(alice))))&
((?[X]:((old(X)<~>creative(X))))=>(old(fred)))&
(![X]:((humble(X)&wise(X))<=>(curious(X)|creative(X))))&
(![... | wise(lucy) | [
"p7",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6871493563986900040478551
% SZS output start Proof for 6871493563986900040478551
8. ! [X0] : ((~patient(X0) | ~wise(X0)) => (kind(X0) & generous(X0))) [input p7]
13. ! [X0] : ((~wise(X0) | ~patient(X0)) => ~generous(X0)) [input p12]
25. ~wise(lucy) [input hypothesis]
30. ! [X0] : ((kind(X... | 0 |
Everyone who is calm is either not patient or not strong and vice versa.
Everyone who is either humble or not happy is creative and vice versa.
Everyone who is both creative and curious is both not calm and not brave and vice versa.
If lucy is kind or old then susan is wise and vice versa.
If paul is not brave then joh... | Fred is not old. | contradiction | (![X]:(calm(X)<=>(~patient(X)<~>~strong(X))))&
(![X]:((humble(X)<~>~happy(X))<=>creative(X)))&
(![X]:((creative(X)&curious(X))<=>(~calm(X)&~brave(X))))&
(((kind(lucy)|old(lucy)))<=>(wise(susan)))&
((~brave(paul))<=>(~generous(john)))&
((~brave(alice))=>((~kind(susan)|~tall(susan))))&
(![X]:((rich(X)&creative(X))=>calm(... | ~old(fred) | [
"p0",
"p1",
"p9",
"p10",
"p11",
"p14",
"p19",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2667489288308525139204580
% SZS output start Proof for 2667489288308525139204580
1. ! [X0] : (calm(X0) <=> (~patient(X0) <~> ~strong(X0))) [input p0]
2. ! [X0] : ((humble(X0) <~> ~happy(X0)) <=> creative(X0)) [input p1]
10. ! [X0] : (strong(X0) <=> (kind(X0) | ~curious(X0))) [input p9]
11... | 0 |
If someone is either kind or not strong then someone is happy or not quiet.
If susan is both not generous and strong then mary is not tall and vice versa.
Everyone who is not happy or patient is both curious and not creative.
If john is not strong then lucy is not old or not generous.
Everyone who is happy is either no... | Fred is creative. | entailment | ((?[X]:((kind(X)<~>~strong(X))))=>(?[X]:((happy(X)|~quiet(X)))))&
(((~generous(susan)&strong(susan)))<=>(~tall(mary)))&
(![X]:((~happy(X)|patient(X))=>(curious(X)&~creative(X))))&
((~strong(john))=>((~old(lucy)|~generous(lucy))))&
(![X]:(happy(X)<=>(~strong(X)<~>~funny(X))))&
(![X]:((curious(X)|~old(X))=>curious(X)))&
... | creative(fred) | [
"p10",
"p11",
"p12",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 3707625226946630064636342
% SZS output start Proof for 3707625226946630064636342
11. ! [X0] : (happy(X0) <=> (~kind(X0) | ~happy(X0))) [input p10]
12. ? [X0] : (generous(X0) & kind(X0)) <=> ? [X0] : (~tall(X0) & wise(X0)) [input p11]
13. ! [X0] : ((~rich(X0) | ~creative(X0)) => (~happy(X0... | 0 |
Everyone who is both not patient and not wise is both not happy and old.
Everyone who is both not creative and tall is both not generous and happy and vice versa.
Everyone who is kind or rich is not rich.
Everyone who is either not calm or humble is not old and vice versa.
Everyone who is rich is not tall.
If alice is ... | Alice is not old. | neutral | (![X]:((~patient(X)&~wise(X))=>(~happy(X)&old(X))))&
(![X]:((~creative(X)&tall(X))<=>(~generous(X)&happy(X))))&
(![X]:((kind(X)|rich(X))=>~rich(X)))&
(![X]:((~calm(X)<~>humble(X))<=>~old(X)))&
(![X]:(rich(X)=>~tall(X)))&
(((calm(alice)<~>brave(alice)))=>(?[X]:(rich(X))))&
(![X]:((brave(X)<~>patient(X))<=>~rich(X)))&
(!... | ~old(alice) | [] | null | 0 |
Everyone who is tall or not strong is not brave. Everyone who is both old and tall is both not calm and not strong. Everyone who is both not patient and creative is either not happy or kind and vice versa. Everyone who is both not tall and not strong is both creative and quiet and vice versa. Everyone who is rich or no... | Paul is not kind. | contradiction | (![X]:((tall(X)|~strong(X))=>~brave(X)))&
(![X]:((old(X)&tall(X))=>(~calm(X)&~strong(X))))&
(![X]:((~patient(X)&creative(X))<=>(~happy(X)<~>kind(X))))&
(![X]:((~tall(X)&~strong(X))<=>(creative(X)&quiet(X))))&
(![X]:((rich(X)|~brave(X))<=>(~generous(X)&tall(X))))&
(((~creative(alice)|~brave(alice)))<=>(?[X]:((creative(X... | ~kind(paul) | [
"p4",
"p6",
"p8",
"p19",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4721496040268349395481781
% SZS output start Proof for 4721496040268349395481781
5. ! [X0] : ((~brave(X0) | rich(X0)) <=> (tall(X0) & ~generous(X0))) [input p4]
7. ! [X0] : ((~humble(X0) & ~rich(X0)) <=> (kind(X0) | ~brave(X0))) [input p6]
9. ! [X0] : ((~patient(X0) | humble(X0)) => (~wis... | 0 |
Everyone who is rich is either not funny or not curious and vice versa.
If someone is both not rich and not tall then someone is both curious and not generous.
If someone is both happy and curious then susan is wise or curious.
Everyone who is happy or curious is either curious or tall and vice versa.
Everyone who is b... | Alice is not patient. | neutral | (![X]:(rich(X)<=>(~funny(X)<~>~curious(X))))&
((?[X]:((~rich(X)&~tall(X))))=>(?[X]:((curious(X)&~generous(X)))))&
((?[X]:((happy(X)&curious(X))))=>((wise(susan)|curious(susan))))&
(![X]:((happy(X)|curious(X))<=>(curious(X)<~>tall(X))))&
(![X]:((~calm(X)&old(X))<=>(funny(X)&brave(X))))&
(![X]:((tall(X)<~>~old(X))=>(calm... | ~patient(alice) | [] | null | 0 |
Everyone who is either old or generous is not calm and vice versa.
If someone is both not old and not rich then someone is brave and vice versa.
Everyone who is kind is not quiet.
Everyone who is both not rich and not patient is both brave and not generous.
If susan is creative or wise then someone is not calm.
If some... | Mary is creative. | neutral | (![X]:((old(X)<~>generous(X))<=>~calm(X)))&
((?[X]:((~old(X)&~rich(X))))<=>(?[X]:(brave(X))))&
(![X]:(kind(X)=>~quiet(X)))&
(![X]:((~rich(X)&~patient(X))=>(brave(X)&~generous(X))))&
(((creative(susan)|wise(susan)))=>(?[X]:(~calm(X))))&
((?[X]:((~kind(X)|brave(X))))<=>(?[X]:((calm(X)|funny(X)))))&
((?[X]:((wise(X)<~>hum... | creative(mary) | [] | null | 0 |
Everyone who is patient is either brave or not humble and vice versa.
If john is both brave and humble then someone is not strong or not creative.
If fred is not kind then mary is funny or not funny and vice versa.
Everyone who is both not old and not kind is not patient or tall and vice versa.
If someone is humble or ... | Alice is not calm. | contradiction | (![X]:(patient(X)<=>(brave(X)<~>~humble(X))))&
(((brave(john)&humble(john)))=>(?[X]:((~strong(X)|~creative(X)))))&
((~kind(fred))<=>((funny(mary)|~funny(mary))))&
(![X]:((~old(X)&~kind(X))<=>(~patient(X)|tall(X))))&
((?[X]:((humble(X)|~happy(X))))=>(?[X]:(rich(X))))&
((?[X]:(~generous(X)))<=>(?[X]:(~funny(X))))&
((?[X]... | ~calm(alice) | [
"p8",
"p10",
"p13",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 3913686180791935232797855
% SZS output start Proof for 3913686180791935232797855
9. ! [X0] : ((tall(X0) & ~generous(X0)) <=> (quiet(X0) | generous(X0))) [input p8]
11. ! [X0] : ((rich(X0) & ~kind(X0)) <=> ~calm(X0)) [input p10]
14. ! [X0] : ((~rich(X0) | quiet(X0)) <=> (curious(X0) | ~tal... | 0 |
If fred is both not creative and creative then someone is not tall or not happy and vice versa.
Everyone who is not quiet is not quiet or not patient.
Everyone who is funny or not happy is kind and vice versa.
If someone is both not patient and not happy then lucy is either wise or not funny.
Everyone who is both not s... | Mary is not tall. | contradiction | (((~creative(fred)&creative(fred)))<=>(?[X]:((~tall(X)|~happy(X)))))&
(![X]:(~quiet(X)=>(~quiet(X)|~patient(X))))&
(![X]:((funny(X)|~happy(X))<=>kind(X)))&
((?[X]:((~patient(X)&~happy(X))))=>((wise(lucy)<~>~funny(lucy))))&
(![X]:((~strong(X)&~funny(X))=>(creative(X)|humble(X))))&
(![X]:(calm(X)=>(quiet(X)&curious(X))))... | ~tall(mary) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 7379462972069140108420929
% SZS output start Proof for 7379462972069140108420929
1. (creative(fred) & ~creative(fred)) <=> ? [X0] : (~happy(X0) | ~tall(X0)) [input p0]
23. ~tall(mary) [input hypothesis]
36. ((creative(fred) & ~creative(fred)) | ! [X0] : (happy(X0) & tall(X0))) & (? [X0] :... | 0 |
Everyone who is not patient is tall or kind. If someone is both not brave and not strong then someone is wise. Everyone who is either not old or creative is both brave and not wise and vice versa. Everyone who is creative is wise and vice versa. If someone is both brave and not strong then someone is either not happy o... | Lucy is quiet. | entailment | (![X]:(~patient(X)=>(tall(X)|kind(X))))&
((?[X]:((~brave(X)&~strong(X))))=>(?[X]:(wise(X))))&
(![X]:((~old(X)<~>creative(X))<=>(brave(X)&~wise(X))))&
(![X]:(creative(X)<=>wise(X)))&
((?[X]:((brave(X)&~strong(X))))<=>(?[X]:((~happy(X)<~>tall(X)))))&
(![X]:((~brave(X)<~>~patient(X))=>quiet(X)))&
(![X]:(wise(X)<=>(~curiou... | quiet(lucy) | [
"p8",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4636324468382988581405300
% SZS output start Proof for 4636324468382988581405300
9. ! [X0] : (happy(X0) <=> ~quiet(X0)) [input p8]
16. ? [X0] : (tall(X0) & ~tall(X0)) <=> happy(lucy) [input p15]
25. ~quiet(lucy) [input hypothesis]
50. ! [X0] : ((happy(X0) | quiet(X0)) & (~quiet(X0) | ~hap... | 0 |
Everyone who is not old is either wise or patient.
If someone is either patient or not kind then mary is both not humble and not creative and vice versa.
If someone is either funny or not wise then alice is happy and vice versa.
Everyone who is both not quiet and wise is not curious and vice versa.
If someone is both n... | Mary is not patient. | entailment | (![X]:(~old(X)=>(wise(X)<~>patient(X))))&
((?[X]:((patient(X)<~>~kind(X))))<=>((~humble(mary)&~creative(mary))))&
((?[X]:((funny(X)<~>~wise(X))))<=>(happy(alice)))&
(![X]:((~quiet(X)&wise(X))<=>~curious(X)))&
((?[X]:((~brave(X)&humble(X))))=>((old(mary)|~happy(mary))))&
((strong(mary))<=>(?[X]:((~kind(X)|~tall(X)))))&
... | ~patient(mary) | [
"p1",
"p5",
"p9",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 279249768693331942553221
% SZS output start Proof for 279249768693331942553221
2. ? [X0] : (patient(X0) <~> ~kind(X0)) <=> (~creative(mary) & ~humble(mary)) [input p1]
6. strong(mary) <=> ? [X0] : (~tall(X0) | ~kind(X0)) [input p5]
10. ? [X0] : (strong(X0) | ~rich(X0)) <=> (~kind(mary) <~... | 0 |
Everyone who is either creative or happy is either not brave or calm. Everyone who is not old is either not quiet or not generous and vice versa. If someone is either not quiet or not rich then susan is both not rich and curious and vice versa. If someone is both not funny and patient then alice is not humble and vice ... | John is happy. | neutral | (![X]:((creative(X)<~>happy(X))=>(~brave(X)<~>calm(X))))&
(![X]:(~old(X)<=>(~quiet(X)<~>~generous(X))))&
((?[X]:((~quiet(X)<~>~rich(X))))<=>((~rich(susan)&curious(susan))))&
((?[X]:((~funny(X)&patient(X))))<=>(~humble(alice)))&
(![X]:((happy(X)|old(X))<=>(wise(X)|~generous(X))))&
((?[X]:((happy(X)|tall(X))))<=>(?[X]:((... | happy(john) | [] | null | 0 |
Everyone who is not quiet or humble is either not quiet or calm and vice versa. Everyone who is either wise or not humble is either not generous or wise and vice versa. Everyone who is not old or generous is either tall or wise and vice versa. Everyone who is not generous or generous is not old and vice versa. Everyone... | Alice is not wise. | neutral | (![X]:((~quiet(X)|humble(X))<=>(~quiet(X)<~>calm(X))))&
(![X]:((wise(X)<~>~humble(X))<=>(~generous(X)<~>wise(X))))&
(![X]:((~old(X)|generous(X))<=>(tall(X)<~>wise(X))))&
(![X]:((~generous(X)|generous(X))<=>~old(X)))&
(![X]:((patient(X)<~>~kind(X))<=>(quiet(X)<~>~wise(X))))&
(![X]:((generous(X)<~>calm(X))<=>(~kind(X)<~>... | ~wise(alice) | [] | null | 0 |
Everyone who is both humble and brave is not patient or old and vice versa.
If someone is both tall and generous then someone is either humble or not funny and vice versa.
If mary is both funny and not patient then mary is both patient and not brave.
If someone is patient then alice is both not brave and kind and vice ... | Susan is quiet. | contradiction | (![X]:((humble(X)&brave(X))<=>(~patient(X)|old(X))))&
((?[X]:((tall(X)&generous(X))))<=>(?[X]:((humble(X)<~>~funny(X)))))&
(((funny(mary)&~patient(mary)))=>((patient(mary)&~brave(mary))))&
((?[X]:(patient(X)))<=>((~brave(alice)&kind(alice))))&
((~generous(susan))=>(?[X]:((~calm(X)<~>strong(X)))))&
(![X]:(~kind(X)<=>(~b... | quiet(susan) | [
"p0",
"p3",
"p5",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 6134936621115705108320633
% SZS output start Proof for 6134936621115705108320633
1. ! [X0] : ((brave(X0) & humble(X0)) <=> (old(X0) | ~patient(X0))) [input p0]
4. ? [X0] : patient(X0) <=> (kind(alice) & ~brave(alice)) [input p3]
6. ! [X0] : (~kind(X0) <=> (~brave(X0) <~> ~kind(X0))) [inpu... | 0 |
Everyone who is not funny is both strong and not quiet and vice versa.
Everyone who is either rich or humble is both strong and not creative.
Everyone who is curious or not calm is not quiet or not happy.
If someone is patient or kind then paul is kind.
Everyone who is humble or tall is tall or funny.
Everyone who is e... | Mary is funny. | entailment | (![X]:(~funny(X)<=>(strong(X)&~quiet(X))))&
(![X]:((rich(X)<~>humble(X))=>(strong(X)&~creative(X))))&
(![X]:((curious(X)|~calm(X))=>(~quiet(X)|~happy(X))))&
((?[X]:((patient(X)|kind(X))))=>(kind(paul)))&
(![X]:((humble(X)|tall(X))=>(tall(X)|funny(X))))&
(![X]:((~brave(X)<~>rich(X))<=>(~rich(X)|patient(X))))&
(![X]:((wi... | funny(mary) | [
"p0",
"p1",
"p5",
"p6",
"p7",
"p9",
"p12",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7729819005773817929123171
% SZS output start Proof for 7729819005773817929123171
1. ! [X0] : (~funny(X0) <=> (~quiet(X0) & strong(X0))) [input p0]
2. ! [X0] : ((rich(X0) <~> humble(X0)) => (~creative(X0) & strong(X0))) [input p1]
6. ! [X0] : ((~brave(X0) <~> rich(X0)) <=> (patient(X0) | ~... | 0 |
Everyone who is tall or not tall is both quiet and not wise and vice versa.
Everyone who is either not kind or not curious is old.
If someone is not old or not brave then alice is either creative or tall.
Everyone who is not old is not brave or kind and vice versa.
If susan is either creative or not happy then someone ... | Mary is rich. | contradiction | (![X]:((tall(X)|~tall(X))<=>(quiet(X)&~wise(X))))&
(![X]:((~kind(X)<~>~curious(X))=>old(X)))&
((?[X]:((~old(X)|~brave(X))))=>((creative(alice)<~>tall(alice))))&
(![X]:(~old(X)<=>(~brave(X)|kind(X))))&
(((creative(susan)<~>~happy(susan)))=>(?[X]:((happy(X)&generous(X)))))&
(![X]:(~old(X)=>(humble(X)&~happy(X))))&
((?[X]... | rich(mary) | [
"p0",
"p3",
"p5",
"p6",
"p8",
"p9",
"p13",
"p14",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 6306619349412184742323521
% SZS output start Proof for 6306619349412184742323521
1. ! [X0] : ((~tall(X0) | tall(X0)) <=> (~wise(X0) & quiet(X0))) [input p0]
4. ! [X0] : (~old(X0) <=> (kind(X0) | ~brave(X0))) [input p3]
6. ! [X0] : (~old(X0) => (~happy(X0) & humble(X0))) [input p5]
7. ? [X... | 0 |
If john is strong or not wise then john is either funny or not humble and vice versa.
Everyone who is not strong is both not kind and not brave and vice versa.
If fred is either old or not brave then someone is quiet and vice versa.
Everyone who is kind or calm is both patient and happy and vice versa.
If alice is happ... | Alice is brave. | entailment | (((strong(john)|~wise(john)))<=>((funny(john)<~>~humble(john))))&
(![X]:(~strong(X)<=>(~kind(X)&~brave(X))))&
(((old(fred)<~>~brave(fred)))<=>(?[X]:(quiet(X))))&
(![X]:((kind(X)|calm(X))<=>(patient(X)&happy(X))))&
(((happy(alice)|brave(alice)))<=>(?[X]:(~kind(X))))&
(![X]:((~humble(X)&~tall(X))<=>(~wise(X)|funny(X))))&... | brave(alice) | [
"p3",
"p4",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 7567619497309015350275907
% SZS output start Proof for 7567619497309015350275907
4. ! [X0] : ((calm(X0) | kind(X0)) <=> (happy(X0) & patient(X0))) [input p3]
5. (brave(alice) | happy(alice)) <=> ? [X0] : ~kind(X0) [input p4]
11. ! [X0] : ((~brave(X0) | ~generous(X0)) => (~quiet(X0) & ~hap... | 0 |
Everyone who is wise is either not brave or not happy.
If fred is not patient then alice is humble or not quiet and vice versa.
Everyone who is either creative or tall is not funny or humble and vice versa.
Everyone who is not patient or humble is not humble.
If susan is both creative and not calm then someone is funny... | John is not rich. | neutral | (![X]:(wise(X)=>(~brave(X)<~>~happy(X))))&
((~patient(fred))<=>((humble(alice)|~quiet(alice))))&
(![X]:((creative(X)<~>tall(X))<=>(~funny(X)|humble(X))))&
(![X]:((~patient(X)|humble(X))=>~humble(X)))&
(((creative(susan)&~calm(susan)))<=>(?[X]:(funny(X))))&
(![X]:(rich(X)=>(brave(X)|~patient(X))))&
(![X]:((~humble(X)|wi... | ~rich(john) | [] | null | 0 |
If someone is happy then alice is both not generous and not brave and vice versa. Everyone who is either generous or funny is calm or creative and vice versa. If susan is generous or not wise then someone is both rich and not generous. Everyone who is either not brave or not funny is wise or creative and vice versa. If... | Susan is not generous. | neutral | ((?[X]:(happy(X)))<=>((~generous(alice)&~brave(alice))))&
(![X]:((generous(X)<~>funny(X))<=>(calm(X)|creative(X))))&
(((generous(susan)|~wise(susan)))=>(?[X]:((rich(X)&~generous(X)))))&
(![X]:((~brave(X)<~>~funny(X))<=>(wise(X)|creative(X))))&
((calm(lucy))<=>(?[X]:((generous(X)|calm(X)))))&
(![X]:(~humble(X)<=>(~gener... | ~generous(susan) | [] | null | 0 |
If alice is not funny then someone is both not funny and not rich and vice versa. Everyone who is both generous and not brave is either happy or curious. Everyone who is either calm or not quiet is either wise or not wise and vice versa. If someone is not humble then paul is both humble and strong and vice versa. Every... | Fred is rich. | contradiction | ((~funny(alice))<=>(?[X]:((~funny(X)&~rich(X)))))&
(![X]:((generous(X)&~brave(X))=>(happy(X)<~>curious(X))))&
(![X]:((calm(X)<~>~quiet(X))<=>(wise(X)<~>~wise(X))))&
((?[X]:(~humble(X)))<=>((humble(paul)&strong(paul))))&
(![X]:((~creative(X)|curious(X))=>(happy(X)&curious(X))))&
((?[X]:((~humble(X)|~happy(X))))=>(?[X]:(... | rich(fred) | [
"p11",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7245404932998363851327047
% SZS output start Proof for 7245404932998363851327047
12. ! [X0] : ((humble(X0) | calm(X0)) <=> (~rich(X0) & ~brave(X0))) [input p11]
19. humble(fred) [input p18]
25. rich(fred) [input hypothesis]
59. ! [X0] : (((humble(X0) | calm(X0)) | (rich(X0) | brave(X0))) ... | 0 |
Everyone who is both not quiet and generous is old or not creative and vice versa. Everyone who is both not old and not generous is either not happy or not generous. Everyone who is either brave or not tall is either not old or not rich and vice versa. Everyone who is creative is not strong or kind. If alice is not fun... | Lucy is not calm. | neutral | (![X]:((~quiet(X)&generous(X))<=>(old(X)|~creative(X))))&
(![X]:((~old(X)&~generous(X))=>(~happy(X)<~>~generous(X))))&
(![X]:((brave(X)<~>~tall(X))<=>(~old(X)<~>~rich(X))))&
(![X]:(creative(X)=>(~strong(X)|kind(X))))&
(((~funny(alice)|rich(alice)))=>(patient(fred)))&
(((old(alice)&~creative(alice)))<=>(?[X]:((happy(X)|... | ~calm(lucy) | [] | null | 0 |
Everyone who is not patient is both funny and not calm and vice versa.
Everyone who is either rich or not patient is patient and vice versa.
If someone is both not humble and not kind then someone is both not funny and calm.
If someone is both not tall and generous then john is either not quiet or tall and vice versa.
... | John is not kind. | neutral | (![X]:(~patient(X)<=>(funny(X)&~calm(X))))&
(![X]:((rich(X)<~>~patient(X))<=>patient(X)))&
((?[X]:((~humble(X)&~kind(X))))=>(?[X]:((~funny(X)&calm(X)))))&
((?[X]:((~tall(X)&generous(X))))<=>((~quiet(john)<~>tall(john))))&
(![X]:(~tall(X)<=>(~tall(X)|curious(X))))&
(![X]:((~funny(X)|~patient(X))=>funny(X)))&
(![X]:((~ol... | ~kind(john) | [] | null | 0 |
Everyone who is not kind is rich or not calm and vice versa.
Everyone who is both curious and quiet is not tall and vice versa.
Everyone who is either happy or old is happy or quiet and vice versa.
Everyone who is either wise or creative is both not patient and not happy.
Everyone who is both not curious and not strong... | Mary is not wise. | entailment | (![X]:(~kind(X)<=>(rich(X)|~calm(X))))&
(![X]:((curious(X)&quiet(X))<=>~tall(X)))&
(![X]:((happy(X)<~>old(X))<=>(happy(X)|quiet(X))))&
(![X]:((wise(X)<~>creative(X))=>(~patient(X)&~happy(X))))&
(![X]:((~curious(X)&~strong(X))<=>~old(X)))&
((?[X]:(patient(X)))<=>(?[X]:((funny(X)<~>~brave(X)))))&
(![X]:((~patient(X)|rich... | ~wise(mary) | [
"p2",
"p4",
"p10",
"p18",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 3617997532460838010557593
% SZS output start Proof for 3617997532460838010557593
3. ! [X0] : ((happy(X0) <~> old(X0)) <=> (quiet(X0) | happy(X0))) [input p2]
5. ! [X0] : ((~strong(X0) & ~curious(X0)) <=> ~old(X0)) [input p4]
11. (~wise(mary) | happy(mary)) <=> (old(fred) | ~curious(fred))... | 0 |
Everyone who is not tall or not humble is both old and not brave and vice versa. Everyone who is not generous is both not happy and not creative and vice versa. If alice is not strong or not funny then someone is either not strong or not humble and vice versa. Everyone who is either tall or calm is happy and vice versa... | Mary is not tall. | neutral | (![X]:((~tall(X)|~humble(X))<=>(old(X)&~brave(X))))&
(![X]:(~generous(X)<=>(~happy(X)&~creative(X))))&
(((~strong(alice)|~funny(alice)))<=>(?[X]:((~strong(X)<~>~humble(X)))))&
(![X]:((tall(X)<~>calm(X))<=>happy(X)))&
(![X]:((humble(X)&~funny(X))=>happy(X)))&
(![X]:((~curious(X)|curious(X))<=>~humble(X)))&
((?[X]:(wise(... | ~tall(mary) | [] | null | 0 |
Everyone who is humble is not generous or creative. If someone is either not brave or strong then someone is not strong or quiet and vice versa. Everyone who is not generous is not funny and vice versa. Everyone who is kind or quiet is not curious or funny and vice versa. Everyone who is either not quiet or humble is q... | John is not old. | neutral | (![X]:(humble(X)=>(~generous(X)|creative(X))))&
((?[X]:((~brave(X)<~>strong(X))))<=>(?[X]:((~strong(X)|quiet(X)))))&
(![X]:(~generous(X)<=>~funny(X)))&
(![X]:((kind(X)|quiet(X))<=>(~curious(X)|funny(X))))&
(![X]:((~quiet(X)<~>humble(X))<=>quiet(X)))&
(![X]:((quiet(X)&brave(X))<=>~tall(X)))&
(((~curious(fred)|~tall(fred... | ~old(john) | [] | null | 0 |
If fred is not tall or rich then someone is both not humble and wise and vice versa. Everyone who is both quiet and not patient is both wise and brave and vice versa. Everyone who is either not kind or not funny is either not strong or not creative. If paul is both old and not calm then susan is humble. Everyone who is... | Susan is creative. | contradiction | (((~tall(fred)|rich(fred)))<=>(?[X]:((~humble(X)&wise(X)))))&
(![X]:((quiet(X)&~patient(X))<=>(wise(X)&brave(X))))&
(![X]:((~kind(X)<~>~funny(X))=>(~strong(X)<~>~creative(X))))&
(((old(paul)&~calm(paul)))=>(humble(susan)))&
(![X]:((funny(X)<~>~brave(X))<=>~curious(X)))&
((?[X]:((~generous(X)&~wise(X))))<=>(?[X]:((~humb... | creative(susan) | [
"p4",
"p7",
"p8",
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 493646061150657133326853
% SZS output start Proof for 493646061150657133326853
5. ! [X0] : ((funny(X0) <~> ~brave(X0)) <=> ~curious(X0)) [input p4]
8. ? [X0] : (calm(X0) | ~quiet(X0)) => brave(paul) [input p7]
9. ! [X0] : ((funny(X0) & curious(X0)) <=> (patient(X0) <~> generous(X0))) [inp... | 0 |
If someone is not patient then alice is humble and vice versa.
If fred is not kind then someone is brave.
Everyone who is both generous and rich is not quiet or calm and vice versa.
If fred is either generous or humble then someone is both not generous and happy.
Everyone who is both funny and not creative is not rich ... | Alice is not patient. | neutral | ((?[X]:(~patient(X)))<=>(humble(alice)))&
((~kind(fred))=>(?[X]:(brave(X))))&
(![X]:((generous(X)&rich(X))<=>(~quiet(X)|calm(X))))&
(((generous(fred)<~>humble(fred)))=>(?[X]:((~generous(X)&happy(X)))))&
(![X]:((funny(X)&~creative(X))<=>(~rich(X)|~happy(X))))&
((?[X]:(~tall(X)))<=>(?[X]:((~funny(X)&tall(X)))))&
(![X]:((... | ~patient(alice) | [] | null | 0 |
Everyone who is both kind and not kind is both not tall and not brave and vice versa. If someone is either brave or not wise then someone is not patient and vice versa. Everyone who is not funny or funny is either wise or strong and vice versa. Everyone who is both tall and strong is either not calm or tall and vice ve... | John is wise. | neutral | (![X]:((kind(X)&~kind(X))<=>(~tall(X)&~brave(X))))&
((?[X]:((brave(X)<~>~wise(X))))<=>(?[X]:(~patient(X))))&
(![X]:((~funny(X)|funny(X))<=>(wise(X)<~>strong(X))))&
(![X]:((tall(X)&strong(X))<=>(~calm(X)<~>tall(X))))&
((?[X]:((funny(X)<~>old(X))))=>((brave(susan)|happy(susan))))&
(![X]:((brave(X)<~>tall(X))<=>(quiet(X)<... | wise(john) | [] | null | 0 |
If someone is either creative or patient then someone is generous or not kind.
Everyone who is not brave is both calm and not calm.
Everyone who is both not humble and not strong is either not wise or not calm.
Everyone who is either creative or quiet is either not rich or humble and vice versa.
Everyone who is either ... | Lucy is happy. | contradiction | ((?[X]:((creative(X)<~>patient(X))))=>(?[X]:((generous(X)|~kind(X)))))&
(![X]:(~brave(X)=>(calm(X)&~calm(X))))&
(![X]:((~humble(X)&~strong(X))=>(~wise(X)<~>~calm(X))))&
(![X]:((creative(X)<~>quiet(X))<=>(~rich(X)<~>humble(X))))&
(![X]:((curious(X)<~>~funny(X))<=>(curious(X)|~wise(X))))&
(![X]:(happy(X)=>(~happy(X)|funn... | happy(lucy) | [
"p5",
"p10",
"p13",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7657023129503445239530821
% SZS output start Proof for 7657023129503445239530821
6. ! [X0] : (happy(X0) => (funny(X0) | ~happy(X0))) [input p5]
11. ! [X0] : (~wise(X0) <=> (~funny(X0) & kind(X0))) [input p10]
14. ! [X0] : ((happy(X0) <~> kind(X0)) => (~wise(X0) | ~strong(X0))) [input p13]... | 0 |
Everyone who is not kind or not wise is not happy or not strong.
Everyone who is humble is patient or humble.
Everyone who is kind or not humble is either kind or tall and vice versa.
If someone is patient then someone is both not creative and not happy and vice versa.
Everyone who is both wise and not patient is happy... | Fred is funny. | neutral | (![X]:((~kind(X)|~wise(X))=>(~happy(X)|~strong(X))))&
(![X]:(humble(X)=>(patient(X)|humble(X))))&
(![X]:((kind(X)|~humble(X))<=>(kind(X)<~>tall(X))))&
((?[X]:(patient(X)))<=>(?[X]:((~creative(X)&~happy(X)))))&
(![X]:((wise(X)&~patient(X))<=>happy(X)))&
((?[X]:(kind(X)))<=>(?[X]:((~humble(X)&curious(X)))))&
((generous(p... | funny(fred) | [] | null | 0 |
If susan is either not humble or old then mary is both not humble and not wise and vice versa.
Everyone who is either creative or not generous is quiet and vice versa.
Everyone who is not curious or not generous is kind.
Everyone who is not wise or not quiet is both not rich and generous.
Everyone who is either patient... | Mary is not wise. | entailment | (((~humble(susan)<~>old(susan)))<=>((~humble(mary)&~wise(mary))))&
(![X]:((creative(X)<~>~generous(X))<=>quiet(X)))&
(![X]:((~curious(X)|~generous(X))=>kind(X)))&
(![X]:((~wise(X)|~quiet(X))=>(~rich(X)&generous(X))))&
(![X]:((patient(X)<~>~strong(X))<=>generous(X)))&
((?[X]:((strong(X)&tall(X))))<=>(?[X]:((~old(X)<~>~r... | ~wise(mary) | [
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4544882434168457749161609
% SZS output start Proof for 4544882434168457749161609
19. ~wise(mary) & ~creative(mary) [input p18]
25. wise(mary) [input hypothesis]
152. ~wise(mary) [cnf transformation 19]
160. wise(mary) [cnf transformation 25]
166. 2 <=> wise(mary) [avatar definition]
370. ... | 0 |
Everyone who is not old is both not calm and brave. Everyone who is either happy or wise is both not brave and not funny and vice versa. Everyone who is not patient is both not rich and not curious and vice versa. If someone is not tall or not humble then someone is creative. Everyone who is either not happy or strong ... | Susan is calm. | entailment | (![X]:(~old(X)=>(~calm(X)&brave(X))))&
(![X]:((happy(X)<~>wise(X))<=>(~brave(X)&~funny(X))))&
(![X]:(~patient(X)<=>(~rich(X)&~curious(X))))&
((?[X]:((~tall(X)|~humble(X))))=>(?[X]:(creative(X))))&
(![X]:((~happy(X)<~>strong(X))<=>quiet(X)))&
(![X]:((strong(X)|humble(X))<=>(~creative(X)&kind(X))))&
(![X]:((creative(X)&c... | calm(susan) | [
"p11",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 1914600017380645195127945
% SZS output start Proof for 1914600017380645195127945
12. ! [X0] : ((~calm(X0) & ~brave(X0)) <=> (tall(X0) & kind(X0))) [input p11]
23. ~brave(susan) & ~tall(susan) [input p22]
24. ~calm(susan) [input hypothesis]
50. ! [X0] : (((~calm(X0) & ~brave(X0)) | (~tall(... | 0 |
If mary is both quiet and not creative then paul is both old and happy and vice versa.
Everyone who is both not quiet and not funny is both old and not rich and vice versa.
Everyone who is not tall or not strong is either happy or not strong and vice versa.
Everyone who is not generous or tall is either not rich or tal... | Lucy is happy. | contradiction | (((quiet(mary)&~creative(mary)))<=>((old(paul)&happy(paul))))&
(![X]:((~quiet(X)&~funny(X))<=>(old(X)&~rich(X))))&
(![X]:((~tall(X)|~strong(X))<=>(happy(X)<~>~strong(X))))&
(![X]:((~generous(X)|tall(X))=>(~rich(X)<~>tall(X))))&
(((curious(john)&~generous(john)))=>(?[X]:((~happy(X)|kind(X)))))&
((rich(fred))=>(?[X]:((~g... | happy(lucy) | [
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 8669828318513046864902194
% SZS output start Proof for 8669828318513046864902194
18. ~brave(lucy) & ~happy(lucy) [input p17]
25. happy(lucy) [input hypothesis]
27. ~happy(lucy) [pure predicate removal 18]
124. ~happy(lucy) [cnf transformation 27]
134. happy(lucy) [cnf transformation 25]
2... | 0 |
Everyone who is humble is both not calm and curious and vice versa.
Everyone who is both happy and calm is not strong or strong and vice versa.
If someone is either not humble or not brave then someone is both funny and not wise and vice versa.
If alice is happy then lucy is either not brave or not rich and vice versa.... | Lucy is rich. | neutral | (![X]:(humble(X)<=>(~calm(X)&curious(X))))&
(![X]:((happy(X)&calm(X))<=>(~strong(X)|strong(X))))&
((?[X]:((~humble(X)<~>~brave(X))))<=>(?[X]:((funny(X)&~wise(X)))))&
((happy(alice))<=>((~brave(lucy)<~>~rich(lucy))))&
((?[X]:((curious(X)|~old(X))))=>(?[X]:((happy(X)&calm(X)))))&
((?[X]:((~wise(X)<~>~calm(X))))=>(?[X]:((... | rich(lucy) | [] | null | 0 |
If alice is both not old and patient then someone is brave. If susan is either not generous or not strong then someone is not rich and vice versa. If someone is either tall or wise then someone is both not old and strong. Everyone who is either calm or not generous is not happy or not strong and vice versa. If someone ... | John is happy. | entailment | (((~old(alice)&patient(alice)))=>(?[X]:(brave(X))))&
(((~generous(susan)<~>~strong(susan)))<=>(?[X]:(~rich(X))))&
((?[X]:((tall(X)<~>wise(X))))=>(?[X]:((~old(X)&strong(X)))))&
(![X]:((calm(X)<~>~generous(X))<=>(~happy(X)|~strong(X))))&
((?[X]:(~wise(X)))<=>((~funny(john)&generous(john))))&
(![X]:((strong(X)<~>patient(X... | happy(john) | [
"p7",
"p8",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1645863193275042026834769
% SZS output start Proof for 1645863193275042026834769
8. ? [X0] : (~happy(X0) <~> ~tall(X0)) => wise(lucy) [input p7]
9. tall(john) <=> ? [X0] : (~happy(X0) | ~kind(X0)) [input p8]
11. ! [X0] : ((generous(X0) <~> ~brave(X0)) <=> (~creative(X0) <~> ~brave(X0))) [... | 0 |
If someone is either not brave or calm then someone is either not curious or quiet and vice versa.
Everyone who is not funny is brave.
Everyone who is either not rich or creative is both curious and not funny and vice versa.
If someone is both not tall and not quiet then paul is either not calm or wise and vice versa.
... | Susan is not kind. | neutral | ((?[X]:((~brave(X)<~>calm(X))))<=>(?[X]:((~curious(X)<~>quiet(X)))))&
(![X]:(~funny(X)=>brave(X)))&
(![X]:((~rich(X)<~>creative(X))<=>(curious(X)&~funny(X))))&
((?[X]:((~tall(X)&~quiet(X))))<=>((~calm(paul)<~>wise(paul))))&
(((~calm(susan)&~kind(susan)))<=>(?[X]:(calm(X))))&
((~patient(susan))<=>((tall(john)<~>~old(joh... | ~kind(susan) | [] | null | 0 |
Everyone who is tall or not brave is both old and not patient. If alice is either patient or not generous then fred is not funny. If someone is not creative then john is humble and vice versa. Everyone who is not curious is not quiet. If someone is either tall or not wise then someone is tall or not happy. Everyone who... | Fred is not strong. | contradiction | (![X]:((tall(X)|~brave(X))=>(old(X)&~patient(X))))&
(((patient(alice)<~>~generous(alice)))=>(~funny(fred)))&
((?[X]:(~creative(X)))<=>(humble(john)))&
(![X]:(~curious(X)=>~quiet(X)))&
((?[X]:((tall(X)<~>~wise(X))))=>(?[X]:((tall(X)|~happy(X)))))&
(![X]:((creative(X)&quiet(X))<=>(creative(X)&~strong(X))))&
(![X]:(brave(... | ~strong(fred) | [
"p2",
"p3",
"p5",
"p6",
"p7",
"p9",
"p11",
"p16",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 389771434289475452219213
% SZS output start Proof for 389771434289475452219213
3. ? [X0] : ~creative(X0) <=> humble(john) [input p2]
4. ! [X0] : (~curious(X0) => ~quiet(X0)) [input p3]
6. ! [X0] : ((quiet(X0) & creative(X0)) <=> (~strong(X0) & creative(X0))) [input p5]
7. ! [X0] : (brave(... | 0 |
If someone is either not humble or old then mary is old. Everyone who is not quiet is both not creative and not humble. Everyone who is both not kind and curious is not old. If someone is either tall or generous then someone is kind or calm and vice versa. Everyone who is either quiet or old is both tall and not humble... | Paul is brave. | neutral | ((?[X]:((~humble(X)<~>old(X))))=>(old(mary)))&
(![X]:(~quiet(X)=>(~creative(X)&~humble(X))))&
(![X]:((~kind(X)&curious(X))=>~old(X)))&
((?[X]:((tall(X)<~>generous(X))))<=>(?[X]:((kind(X)|calm(X)))))&
(![X]:((quiet(X)<~>old(X))=>(tall(X)&~humble(X))))&
(![X]:((brave(X)<~>funny(X))<=>(generous(X)|~patient(X))))&
(![X]:((... | brave(paul) | [] | null | 0 |
Everyone who is both not old and not tall is not creative or funny.
If someone is not old or tall then fred is funny or not rich and vice versa.
If someone is creative then someone is happy and vice versa.
Everyone who is either not strong or wise is not curious or wise and vice versa.
If someone is either wise or brav... | Mary is rich. | contradiction | (![X]:((~old(X)&~tall(X))=>(~creative(X)|funny(X))))&
((?[X]:((~old(X)|tall(X))))<=>((funny(fred)|~rich(fred))))&
((?[X]:(creative(X)))<=>(?[X]:(happy(X))))&
(![X]:((~strong(X)<~>wise(X))<=>(~curious(X)|wise(X))))&
((?[X]:((wise(X)<~>brave(X))))<=>(?[X]:((~happy(X)<~>~rich(X)))))&
(![X]:(~brave(X)=>wise(X)))&
(![X]:((c... | rich(mary) | [
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5229500457787470842437808
% SZS output start Proof for 5229500457787470842437808
18. wise(mary) & ~rich(mary) [input p17]
25. rich(mary) [input hypothesis]
137. ~rich(mary) [cnf transformation 18]
149. rich(mary) [cnf transformation 25]
348. $false [subsumption resolution 149,137]
% SZS o... | 0 |
Everyone who is either creative or wise is both not happy and creative and vice versa.
Everyone who is both not humble and funny is both not strong and kind.
If alice is calm then someone is both calm and generous.
If alice is humble or happy then someone is both humble and not old.
Everyone who is both not wise and no... | Mary is creative. | neutral | (![X]:((creative(X)<~>wise(X))<=>(~happy(X)&creative(X))))&
(![X]:((~humble(X)&funny(X))=>(~strong(X)&kind(X))))&
((calm(alice))=>(?[X]:((calm(X)&generous(X)))))&
(((humble(alice)|happy(alice)))=>(?[X]:((humble(X)&~old(X)))))&
(![X]:((~wise(X)&~humble(X))=>(rich(X)<~>strong(X))))&
(![X]:((~happy(X)&wise(X))<=>(~strong(... | creative(mary) | [] | null | 0 |
If mary is either not kind or humble then john is wise.
Everyone who is not curious is both quiet and curious and vice versa.
Everyone who is both not strong and not happy is calm or creative.
If susan is either not funny or kind then someone is both not strong and kind and vice versa.
Everyone who is either old or fun... | Susan is patient. | entailment | (((~kind(mary)<~>humble(mary)))=>(wise(john)))&
(![X]:(~curious(X)<=>(quiet(X)&curious(X))))&
(![X]:((~strong(X)&~happy(X))=>(calm(X)|creative(X))))&
(((~funny(susan)<~>kind(susan)))<=>(?[X]:((~strong(X)&kind(X)))))&
(![X]:((old(X)<~>funny(X))<=>calm(X)))&
(![X]:(generous(X)<=>~happy(X)))&
(![X]:(~patient(X)=>quiet(X))... | patient(susan) | [
"p1",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 706378899648013963541273
% SZS output start Proof for 706378899648013963541273
2. ! [X0] : (~curious(X0) <=> (curious(X0) & quiet(X0))) [input p1]
7. ! [X0] : (~patient(X0) => quiet(X0)) [input p6]
20. ~patient(susan) [input hypothesis]
25. ! [X0] : (quiet(X0) | patient(X0)) [ennf transfo... | 0 |
If someone is both strong and not happy then susan is not brave. Everyone who is either brave or not creative is kind and vice versa. Everyone who is both not old and quiet is happy. If lucy is both quiet and not wise then mary is both wise and not patient. Everyone who is creative or humble is either not patient or ri... | Paul is quiet. | entailment | ((?[X]:((strong(X)&~happy(X))))=>(~brave(susan)))&
(![X]:((brave(X)<~>~creative(X))<=>kind(X)))&
(![X]:((~old(X)&quiet(X))=>happy(X)))&
(((quiet(lucy)&~wise(lucy)))=>((wise(mary)&~patient(mary))))&
(![X]:((creative(X)|humble(X))=>(~patient(X)<~>rich(X))))&
(![X]:((~creative(X)<~>generous(X))=>~brave(X)))&
(![X]:(brave(... | quiet(paul) | [
"p4",
"p6",
"p9",
"p10",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2111343696807591623277141
% SZS output start Proof for 2111343696807591623277141
5. ! [X0] : ((humble(X0) | creative(X0)) => (~patient(X0) <~> rich(X0))) [input p4]
7. ! [X0] : (brave(X0) <=> (humble(X0) | ~calm(X0))) [input p6]
10. ! [X0] : ((patient(X0) & ~brave(X0)) <=> (brave(X0) & ~w... | 0 |
Everyone who is not wise is both not brave and wise and vice versa.
Everyone who is not calm or old is either patient or not quiet.
Everyone who is curious or not strong is not tall.
Everyone who is both calm and not patient is either humble or not humble and vice versa.
Everyone who is creative is humble.
Everyone who... | John is generous. | neutral | (![X]:(~wise(X)<=>(~brave(X)&wise(X))))&
(![X]:((~calm(X)|old(X))=>(patient(X)<~>~quiet(X))))&
(![X]:((curious(X)|~strong(X))=>~tall(X)))&
(![X]:((calm(X)&~patient(X))<=>(humble(X)<~>~humble(X))))&
(![X]:(creative(X)=>humble(X)))&
(![X]:((~generous(X)|tall(X))=>(~happy(X)<~>calm(X))))&
(![X]:((~kind(X)<~>wise(X))=>stro... | generous(john) | [] | null | 0 |
Everyone who is patient or creative is either rich or not strong and vice versa.
Everyone who is funny or curious is creative or not quiet and vice versa.
Everyone who is both not curious and tall is either creative or not quiet and vice versa.
If fred is funny then john is not curious or rich and vice versa.
Everyone ... | Mary is quiet. | contradiction | (![X]:((patient(X)|creative(X))<=>(rich(X)<~>~strong(X))))&
(![X]:((funny(X)|curious(X))<=>(creative(X)|~quiet(X))))&
(![X]:((~curious(X)&tall(X))<=>(creative(X)<~>~quiet(X))))&
((funny(fred))<=>((~curious(john)|rich(john))))&
(![X]:((~rich(X)&~happy(X))<=>~brave(X)))&
((quiet(john))=>(?[X]:((~tall(X)|~generous(X)))))&... | quiet(mary) | [
"p0",
"p1",
"p10",
"p11",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 1144968402258637657811073
% SZS output start Proof for 1144968402258637657811073
1. ! [X0] : ((creative(X0) | patient(X0)) <=> (rich(X0) <~> ~strong(X0))) [input p0]
2. ! [X0] : ((curious(X0) | funny(X0)) <=> (~quiet(X0) | creative(X0))) [input p1]
11. ! [X0] : (~funny(X0) => (~rich(X0) <... | 0 |
Everyone who is either not funny or not patient is either brave or tall and vice versa.
Everyone who is not humble is not tall and vice versa.
Everyone who is not strong or not happy is calm or not brave.
Everyone who is either curious or humble is both kind and not humble.
Everyone who is both rich and wise is either ... | Alice is humble. | neutral | (![X]:((~funny(X)<~>~patient(X))<=>(brave(X)<~>tall(X))))&
(![X]:(~humble(X)<=>~tall(X)))&
(![X]:((~strong(X)|~happy(X))=>(calm(X)|~brave(X))))&
(![X]:((curious(X)<~>humble(X))=>(kind(X)&~humble(X))))&
(![X]:((rich(X)&wise(X))<=>(quiet(X)<~>strong(X))))&
(((~tall(alice)&old(alice)))=>(?[X]:((~patient(X)|kind(X)))))&
(!... | humble(alice) | [] | null | 0 |
Everyone who is old or not old is not humble and vice versa.
Everyone who is both not generous and curious is either not curious or generous and vice versa.
Everyone who is patient is wise or not rich and vice versa.
If susan is not generous then someone is both old and not creative.
Everyone who is either quiet or cre... | Lucy is tall. | contradiction | (![X]:((old(X)|~old(X))<=>~humble(X)))&
(![X]:((~generous(X)&curious(X))<=>(~curious(X)<~>generous(X))))&
(![X]:(patient(X)<=>(wise(X)|~rich(X))))&
((~generous(susan))=>(?[X]:((old(X)&~creative(X)))))&
(![X]:((quiet(X)<~>creative(X))<=>(old(X)|~funny(X))))&
(![X]:((~strong(X)<~>~humble(X))=>kind(X)))&
(![X]:((generous(... | tall(lucy) | [
"p0",
"p1",
"p2",
"p8",
"p9",
"p11",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7949446660952558360232698
% SZS output start Proof for 7949446660952558360232698
1. ! [X0] : ((~old(X0) | old(X0)) <=> ~humble(X0)) [input p0]
2. ! [X0] : ((curious(X0) & ~generous(X0)) <=> (~curious(X0) <~> generous(X0))) [input p1]
3. ! [X0] : (patient(X0) <=> (~rich(X0) | wise(X0))) [i... | 0 |
If someone is either not generous or wise then someone is both not creative and funny and vice versa.
If someone is either brave or not happy then mary is either not happy or curious.
Everyone who is both strong and not creative is creative or kind and vice versa.
If someone is kind or not kind then someone is not crea... | Paul is not kind. | entailment | ((?[X]:((~generous(X)<~>wise(X))))<=>(?[X]:((~creative(X)&funny(X)))))&
((?[X]:((brave(X)<~>~happy(X))))=>((~happy(mary)<~>curious(mary))))&
(![X]:((strong(X)&~creative(X))<=>(creative(X)|kind(X))))&
((?[X]:((kind(X)|~kind(X))))<=>(?[X]:(~creative(X))))&
(![X]:((~happy(X)&tall(X))<=>happy(X)))&
(![X]:((curious(X)|humbl... | ~kind(paul) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 6445123127610181759701072
% SZS output start Proof for 6445123127610181759701072
10. (kind(paul) | humble(paul)) => ? [X0] : (kind(X0) & ~kind(X0)) [input p9]
23. kind(paul) [input hypothesis]
31. ? [X0] : (kind(X0) & ~kind(X0)) | (~kind(paul) & ~humble(paul)) [ennf transformation 10]
61.... | 0 |
Everyone who is both not happy and not kind is not strong.
If mary is either not humble or funny then fred is either old or not curious and vice versa.
If someone is either not wise or not happy then fred is either not calm or generous.
Everyone who is rich is both wise and not curious and vice versa.
If someone is ric... | Paul is not patient. | neutral | (![X]:((~happy(X)&~kind(X))=>~strong(X)))&
(((~humble(mary)<~>funny(mary)))<=>((old(fred)<~>~curious(fred))))&
((?[X]:((~wise(X)<~>~happy(X))))=>((~calm(fred)<~>generous(fred))))&
(![X]:(rich(X)<=>(wise(X)&~curious(X))))&
((?[X]:((rich(X)|tall(X))))<=>(?[X]:((~creative(X)<~>~tall(X)))))&
(![X]:((happy(X)<~>~patient(X))... | ~patient(paul) | [] | null | 0 |
Everyone who is both not rich and not funny is both rich and not curious and vice versa.
Everyone who is either not wise or not patient is not calm or kind and vice versa.
Everyone who is either not calm or calm is both not rich and quiet and vice versa.
Everyone who is not wise is both not patient and not wise and vic... | Alice is not happy. | contradiction | (![X]:((~rich(X)&~funny(X))<=>(rich(X)&~curious(X))))&
(![X]:((~wise(X)<~>~patient(X))<=>(~calm(X)|kind(X))))&
(![X]:((~calm(X)<~>calm(X))<=>(~rich(X)&quiet(X))))&
(![X]:(~wise(X)<=>(~patient(X)&~wise(X))))&
(((~creative(paul)&~quiet(paul)))<=>(?[X]:((rich(X)|~happy(X)))))&
(![X]:(~funny(X)=>(kind(X)|~kind(X))))&
(![X]... | ~happy(alice) | [
"p2",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 1253293869049657803708418
% SZS output start Proof for 1253293869049657803708418
3. ! [X0] : ((~calm(X0) <~> calm(X0)) <=> (quiet(X0) & ~rich(X0))) [input p2]
5. (~quiet(paul) & ~creative(paul)) <=> ? [X0] : (~happy(X0) | rich(X0)) [input p4]
22. ~happy(alice) [input hypothesis]
36. ! [X0... | 0 |
Everyone who is either quiet or not humble is kind.
If someone is not creative then john is either funny or not wise and vice versa.
If someone is both not quiet and brave then fred is wise or not curious.
If someone is curious then alice is both not humble and not kind.
Everyone who is humble is creative and vice vers... | Alice is strong. | neutral | (![X]:((quiet(X)<~>~humble(X))=>kind(X)))&
((?[X]:(~creative(X)))<=>((funny(john)<~>~wise(john))))&
((?[X]:((~quiet(X)&brave(X))))=>((wise(fred)|~curious(fred))))&
((?[X]:(curious(X)))=>((~humble(alice)&~kind(alice))))&
(![X]:(humble(X)<=>creative(X)))&
(((generous(mary)<~>brave(mary)))=>(?[X]:((curious(X)|quiet(X)))))... | strong(alice) | [] | null | 0 |
If lucy is funny then someone is both not rich and tall. Everyone who is tall or curious is both generous and not calm and vice versa. Everyone who is not strong is either strong or not rich. If lucy is either not brave or not rich then someone is not brave and vice versa. Everyone who is either not brave or patient is... | Mary is creative. | neutral | ((funny(lucy))=>(?[X]:((~rich(X)&tall(X)))))&
(![X]:((tall(X)|curious(X))<=>(generous(X)&~calm(X))))&
(![X]:(~strong(X)=>(strong(X)<~>~rich(X))))&
(((~brave(lucy)<~>~rich(lucy)))<=>(?[X]:(~brave(X))))&
(![X]:((~brave(X)<~>patient(X))=>creative(X)))&
(![X]:(happy(X)<=>(curious(X)&~kind(X))))&
((?[X]:((curious(X)&~happy(... | creative(mary) | [] | null | 0 |
Everyone who is not wise or funny is either not wise or not curious.
If john is not kind or humble then john is strong and vice versa.
If alice is either not kind or brave then someone is strong or not patient and vice versa.
If someone is both not curious and curious then alice is not funny or rich.
Everyone who is fu... | Paul is funny. | contradiction | (![X]:((~wise(X)|funny(X))=>(~wise(X)<~>~curious(X))))&
(((~kind(john)|humble(john)))<=>(strong(john)))&
(((~kind(alice)<~>brave(alice)))<=>(?[X]:((strong(X)|~patient(X)))))&
((?[X]:((~curious(X)&curious(X))))=>((~funny(alice)|rich(alice))))&
(![X]:(funny(X)=>(~funny(X)|rich(X))))&
(![X]:((humble(X)&patient(X))<=>(~cre... | funny(paul) | [
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 4197251627303942322744118
% SZS output start Proof for 4197251627303942322744118
8. ! [X0] : ((funny(X0) | ~kind(X0)) => happy(X0)) [input p7]
9. ! [X0] : ((happy(X0) <~> ~strong(X0)) <=> (~happy(X0) | ~strong(X0))) [input p8]
24. funny(paul) [input hypothesis]
33. ! [X0] : (happy(X0) | (... | 0 |
Everyone who is not brave or calm is brave or not funny and vice versa. Everyone who is not creative is rich or patient. If someone is both generous and not brave then someone is both creative and quiet. If fred is not strong or not funny then paul is old and vice versa. Everyone who is not happy is both wise and not o... | Alice is strong. | entailment | (![X]:((~brave(X)|calm(X))<=>(brave(X)|~funny(X))))&
(![X]:(~creative(X)=>(rich(X)|patient(X))))&
((?[X]:((generous(X)&~brave(X))))=>(?[X]:((creative(X)&quiet(X)))))&
(((~strong(fred)|~funny(fred)))<=>(old(paul)))&
(![X]:(~happy(X)<=>(wise(X)&~old(X))))&
(![X]:(rich(X)<=>strong(X)))&
(![X]:((~brave(X)<~>wise(X))<=>(~cr... | strong(alice) | [
"p5",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7552041085357009324921958
% SZS output start Proof for 7552041085357009324921958
6. ! [X0] : (rich(X0) <=> strong(X0)) [input p5]
13. ! [X0] : (strong(X0) <=> (~rich(X0) | humble(X0))) [input p12]
23. ~strong(alice) [input hypothesis]
44. ! [X0] : ((rich(X0) | ~strong(X0)) & (strong(X0) |... | 0 |
If susan is both not wise and not rich then lucy is not calm and vice versa. Everyone who is either not quiet or not tall is funny and vice versa. Everyone who is not strong is not wise. If john is strong then john is either not quiet or tall. If mary is both not patient and not quiet then someone is both calm and not ... | John is happy. | contradiction | (((~wise(susan)&~rich(susan)))<=>(~calm(lucy)))&
(![X]:((~quiet(X)<~>~tall(X))<=>funny(X)))&
(![X]:(~strong(X)=>~wise(X)))&
((strong(john))=>((~quiet(john)<~>tall(john))))&
(((~patient(mary)&~quiet(mary)))<=>(?[X]:((calm(X)&~generous(X)))))&
(![X]:((curious(X)<~>~generous(X))<=>(calm(X)&rich(X))))&
(![X]:((calm(X)&rich... | happy(john) | [
"p1",
"p2",
"p3",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3982991767952239615206059
% SZS output start Proof for 3982991767952239615206059
2. ! [X0] : ((~quiet(X0) <~> ~tall(X0)) <=> funny(X0)) [input p1]
3. ! [X0] : (~strong(X0) => ~wise(X0)) [input p2]
4. strong(john) => (~quiet(john) <~> tall(john)) [input p3]
11. ! [X0] : (wise(X0) <=> (~pat... | 0 |
Everyone who is either not curious or patient is not old or rich and vice versa. If someone is generous then someone is both old and not strong. If someone is not quiet then lucy is either not old or not brave and vice versa. Everyone who is curious is not strong and vice versa. If mary is both curious and not calm the... | Mary is patient. | entailment | (![X]:((~curious(X)<~>patient(X))<=>(~old(X)|rich(X))))&
((?[X]:(generous(X)))=>(?[X]:((old(X)&~strong(X)))))&
((?[X]:(~quiet(X)))<=>((~old(lucy)<~>~brave(lucy))))&
(![X]:(curious(X)<=>~strong(X)))&
(((curious(mary)&~calm(mary)))<=>(?[X]:(~tall(X))))&
(![X]:((rich(X)&~funny(X))<=>(tall(X)<~>~brave(X))))&
(![X]:((~old(X... | patient(mary) | [
"p0",
"p1",
"p3",
"p4",
"p6",
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 8800718634829082992902917
% SZS output start Proof for 8800718634829082992902917
1. ! [X0] : ((~curious(X0) <~> patient(X0)) <=> (rich(X0) | ~old(X0))) [input p0]
2. ? [X0] : generous(X0) => ? [X0] : (~strong(X0) & old(X0)) [input p1]
4. ! [X0] : (curious(X0) <=> ~strong(X0)) [input p3]
5... | 0 |
Everyone who is both wise and kind is rich and vice versa. Everyone who is both not rich and not quiet is not tall or patient. If someone is both not kind and generous then mary is both not happy and not generous and vice versa. If lucy is not generous then mary is calm and vice versa. Everyone who is funny is rich or ... | Paul is rich. | neutral | (![X]:((wise(X)&kind(X))<=>rich(X)))&
(![X]:((~rich(X)&~quiet(X))=>(~tall(X)|patient(X))))&
((?[X]:((~kind(X)&generous(X))))<=>((~happy(mary)&~generous(mary))))&
((~generous(lucy))<=>(calm(mary)))&
(![X]:(funny(X)<=>(rich(X)|~calm(X))))&
(((~rich(mary)|~strong(mary)))=>((~wise(alice)&brave(alice))))&
(![X]:((~kind(X)|~... | rich(paul) | [] | null | 0 |
If susan is either not rich or wise then someone is either quiet or not calm. If mary is calm then someone is happy or rich and vice versa. If john is either brave or old then someone is either old or not curious and vice versa. Everyone who is old or not brave is both not patient and curious. If someone is not creativ... | Alice is tall. | contradiction | (((~rich(susan)<~>wise(susan)))=>(?[X]:((quiet(X)<~>~calm(X)))))&
((calm(mary))<=>(?[X]:((happy(X)|rich(X)))))&
(((brave(john)<~>old(john)))<=>(?[X]:((old(X)<~>~curious(X)))))&
(![X]:((old(X)|~brave(X))=>(~patient(X)&curious(X))))&
((?[X]:((~creative(X)|calm(X))))=>(?[X]:((strong(X)&~creative(X)))))&
(![X]:((~tall(X)|f... | tall(alice) | [
"p1",
"p3",
"p8",
"p10",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 621116113925337879192341
% SZS output start Proof for 621116113925337879192341
2. calm(mary) <=> ? [X0] : (rich(X0) | happy(X0)) [input p1]
4. ! [X0] : ((~brave(X0) | old(X0)) => (curious(X0) & ~patient(X0))) [input p3]
9. ! [X0] : (calm(X0) <=> (patient(X0) & old(X0))) [input p8]
11. ! [... | 0 |
If mary is either not generous or humble then fred is both not patient and not strong.
Everyone who is happy or not curious is either brave or not humble and vice versa.
If lucy is quiet or not wise then someone is not brave or kind.
Everyone who is not creative or quiet is both not creative and quiet and vice versa.
E... | Mary is strong. | neutral | (((~generous(mary)<~>humble(mary)))=>((~patient(fred)&~strong(fred))))&
(![X]:((happy(X)|~curious(X))<=>(brave(X)<~>~humble(X))))&
(((quiet(lucy)|~wise(lucy)))=>(?[X]:((~brave(X)|kind(X)))))&
(![X]:((~creative(X)|quiet(X))<=>(~creative(X)&quiet(X))))&
(![X]:((brave(X)|~wise(X))<=>(~rich(X)&creative(X))))&
(![X]:(curiou... | strong(mary) | [] | null | 0 |
Everyone who is both generous and not brave is either not rich or not quiet and vice versa.
Everyone who is either quiet or kind is not strong or not creative and vice versa.
If lucy is not patient or not funny then someone is both tall and not quiet.
Everyone who is not calm or not patient is not kind or wise.
Everyon... | Lucy is not happy. | contradiction | (![X]:((generous(X)&~brave(X))<=>(~rich(X)<~>~quiet(X))))&
(![X]:((quiet(X)<~>kind(X))<=>(~strong(X)|~creative(X))))&
(((~patient(lucy)|~funny(lucy)))=>(?[X]:((tall(X)&~quiet(X)))))&
(![X]:((~calm(X)|~patient(X))=>(~kind(X)|wise(X))))&
(![X]:((~wise(X)|humble(X))<=>(~wise(X)|tall(X))))&
(![X]:(~kind(X)<=>(happy(X)|old(... | ~happy(lucy) | [
"p1",
"p2",
"p3",
"p4",
"p5",
"p8",
"p10",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 29664152536857910413980
% SZS output start Proof for 29664152536857910413980
2. ! [X0] : ((quiet(X0) <~> kind(X0)) <=> (~creative(X0) | ~strong(X0))) [input p1]
3. (~funny(lucy) | ~patient(lucy)) => ? [X0] : (~quiet(X0) & tall(X0)) [input p2]
4. ! [X0] : ((~patient(X0) | ~calm(X0)) => (wi... | 0 |
Everyone who is creative or old is not wise and vice versa. If lucy is not generous then fred is generous or tall. Everyone who is either creative or old is either calm or old and vice versa. Everyone who is not kind or not brave is tall and vice versa. Everyone who is either not strong or not rich is both not humble a... | Mary is not humble. | contradiction | (![X]:((creative(X)|old(X))<=>~wise(X)))&
((~generous(lucy))=>((generous(fred)|tall(fred))))&
(![X]:((creative(X)<~>old(X))<=>(calm(X)<~>old(X))))&
(![X]:((~kind(X)|~brave(X))<=>tall(X)))&
(![X]:((~strong(X)<~>~rich(X))=>(~humble(X)&creative(X))))&
(![X]:((strong(X)&~wise(X))=>(generous(X)|calm(X))))&
(((rich(susan)<~>... | ~humble(mary) | [
"p0",
"p2",
"p8",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 566086890867084379959186
% SZS output start Proof for 566086890867084379959186
1. ! [X0] : ((old(X0) | creative(X0)) <=> ~wise(X0)) [input p0]
3. ! [X0] : ((creative(X0) <~> old(X0)) <=> (calm(X0) <~> old(X0))) [input p2]
9. ! [X0] : (kind(X0) <=> (~kind(X0) <~> funny(X0))) [input p8]
10.... | 0 |
Everyone who is both generous and not kind is creative or brave. Everyone who is either not strong or not happy is not generous and vice versa. If john is not creative then someone is not old and vice versa. If susan is patient or not old then someone is both not calm and happy and vice versa. If susan is both not pati... | Fred is not calm. | contradiction | (![X]:((generous(X)&~kind(X))=>(creative(X)|brave(X))))&
(![X]:((~strong(X)<~>~happy(X))<=>~generous(X)))&
((~creative(john))<=>(?[X]:(~old(X))))&
(((patient(susan)|~old(susan)))<=>(?[X]:((~calm(X)&happy(X)))))&
(((~patient(susan)&~humble(susan)))<=>((calm(lucy)&~happy(lucy))))&
(![X]:(~calm(X)<=>~tall(X)))&
((?[X]:((o... | ~calm(fred) | [
"p11",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 4939478255277153806408727
% SZS output start Proof for 4939478255277153806408727
12. ! [X0] : ((curious(X0) & ~brave(X0)) <=> (brave(X0) | strong(X0))) [input p11]
16. ! [X0] : ((~patient(X0) & strong(X0)) <=> (~calm(X0) | ~wise(X0))) [input p15]
21. brave(fred) | ~curious(fred) [input p2... | 0 |
If someone is funny or kind then someone is curious or not creative.
If someone is both old and wise then paul is happy or not strong.
If someone is both calm and happy then someone is both not quiet and kind and vice versa.
If someone is both rich and curious then lucy is brave or calm.
If alice is either not quiet or... | Mary is quiet. | contradiction | ((?[X]:((funny(X)|kind(X))))=>(?[X]:((curious(X)|~creative(X)))))&
((?[X]:((old(X)&wise(X))))=>((happy(paul)|~strong(paul))))&
((?[X]:((calm(X)&happy(X))))<=>(?[X]:((~quiet(X)&kind(X)))))&
((?[X]:((rich(X)&curious(X))))=>((brave(lucy)|calm(lucy))))&
(((~quiet(alice)<~>~rich(alice)))<=>(~curious(susan)))&
((?[X]:((stron... | quiet(mary) | [
"p8",
"p12",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 7587496291695224554759061
% SZS output start Proof for 7587496291695224554759061
9. ! [X0] : ((~tall(X0) | quiet(X0)) => (calm(X0) | ~quiet(X0))) [input p8]
13. (~calm(mary) & ~patient(mary)) <=> ? [X0] : (happy(X0) | tall(X0)) [input p12]
23. ? [X0] : (~rich(X0) & happy(X0)) [input p22]
... | 0 |
If someone is not humble or not creative then someone is both happy and not quiet and vice versa.
If john is strong then lucy is generous or not tall and vice versa.
Everyone who is quiet is both brave and patient and vice versa.
Everyone who is not happy or kind is not old and vice versa.
Everyone who is brave or not ... | Lucy is strong. | entailment | ((?[X]:((~humble(X)|~creative(X))))<=>(?[X]:((happy(X)&~quiet(X)))))&
((strong(john))<=>((generous(lucy)|~tall(lucy))))&
(![X]:(quiet(X)<=>(brave(X)&patient(X))))&
(![X]:((~happy(X)|kind(X))<=>~old(X)))&
(![X]:((brave(X)|~strong(X))<=>(generous(X)&~kind(X))))&
(((old(alice)|~patient(alice)))=>(?[X]:((~quiet(X)&generous... | strong(lucy) | [
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 8051061308708580635479203
% SZS output start Proof for 8051061308708580635479203
11. ! [X0] : ((calm(X0) | ~wise(X0)) => wise(X0)) [input p10]
12. ? [X0] : ~strong(X0) <=> ~wise(paul) [input p11]
24. ~strong(lucy) [input hypothesis]
35. ! [X0] : (wise(X0) | (~calm(X0) & wise(X0))) [ennf t... | 0 |
If mary is both happy and rich then fred is not humble.
If someone is not curious then someone is not humble or quiet.
If someone is generous or brave then lucy is not calm.
Everyone who is quiet is either wise or not funny.
If someone is wise or not generous then lucy is not happy.
If john is both not humble and not r... | Lucy is patient. | contradiction | (((happy(mary)&rich(mary)))=>(~humble(fred)))&
((?[X]:(~curious(X)))=>(?[X]:((~humble(X)|quiet(X)))))&
((?[X]:((generous(X)|brave(X))))=>(~calm(lucy)))&
(![X]:(quiet(X)=>(wise(X)<~>~funny(X))))&
((?[X]:((wise(X)|~generous(X))))=>(~happy(lucy)))&
(((~humble(john)&~rich(john)))=>((funny(lucy)<~>creative(lucy))))&
(![X]:(... | patient(lucy) | [
"p6",
"p7",
"p8",
"p12",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3759765489505694027877281
% SZS output start Proof for 3759765489505694027877281
7. ! [X0] : ((~patient(X0) & funny(X0)) <=> strong(X0)) [input p6]
8. ! [X0] : (~strong(X0) => (~strong(X0) & ~calm(X0))) [input p7]
9. ! [X0] : ((~kind(X0) & ~creative(X0)) <=> ~rich(X0)) [input p8]
13. (tal... | 0 |
Everyone who is happy or not patient is not humble and vice versa.
If someone is creative then alice is strong and vice versa.
If lucy is not wise or generous then john is curious and vice versa.
If paul is not tall or tall then paul is not wise or happy.
If someone is not tall then susan is not old or not generous.
Ev... | Lucy is not brave. | entailment | (![X]:((happy(X)|~patient(X))<=>~humble(X)))&
((?[X]:(creative(X)))<=>(strong(alice)))&
(((~wise(lucy)|generous(lucy)))<=>(curious(john)))&
(((~tall(paul)|tall(paul)))=>((~wise(paul)|happy(paul))))&
((?[X]:(~tall(X)))=>((~old(susan)|~generous(susan))))&
(![X]:((humble(X)<~>tall(X))<=>(~generous(X)&~strong(X))))&
(![X]:... | ~brave(lucy) | [
"p0",
"p6",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 1316289273372391610531775
% SZS output start Proof for 1316289273372391610531775
1. ! [X0] : ((~patient(X0) | happy(X0)) <=> ~humble(X0)) [input p0]
7. ! [X0] : (~humble(X0) <=> ~brave(X0)) [input p6]
12. ! [X0] : ((brave(X0) | ~happy(X0)) <=> ~patient(X0)) [input p11]
24. brave(lucy) [in... | 0 |
If someone is wise then susan is both calm and not patient and vice versa.
Everyone who is both not creative and tall is both not creative and strong.
If paul is both not calm and old then fred is not tall or not brave and vice versa.
Everyone who is not rich is both not curious and not strong.
If someone is both not r... | Alice is not kind. | entailment | ((?[X]:(wise(X)))<=>((calm(susan)&~patient(susan))))&
(![X]:((~creative(X)&tall(X))=>(~creative(X)&strong(X))))&
(((~calm(paul)&old(paul)))<=>((~tall(fred)|~brave(fred))))&
(![X]:(~rich(X)=>(~curious(X)&~strong(X))))&
((?[X]:((~rich(X)&curious(X))))<=>(~generous(fred)))&
((?[X]:((creative(X)&tall(X))))<=>((~calm(paul)&... | ~kind(alice) | [
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 83752638140933641649866
% SZS output start Proof for 83752638140933641649866
17. ~wise(alice) & ~kind(alice) [input p16]
25. kind(alice) [input hypothesis]
123. ~kind(alice) [cnf transformation 17]
137. kind(alice) [cnf transformation 25]
326. $false [subsumption resolution 137,123]
% SZS... | 0 |
If someone is either not old or quiet then someone is either not kind or wise.
Everyone who is patient is both not patient and quiet and vice versa.
If paul is strong then someone is strong.
Everyone who is old or not quiet is both curious and not brave.
If paul is either wise or not old then fred is tall.
Everyone who... | Fred is not humble. | neutral | ((?[X]:((~old(X)<~>quiet(X))))=>(?[X]:((~kind(X)<~>wise(X)))))&
(![X]:(patient(X)<=>(~patient(X)&quiet(X))))&
((strong(paul))=>(?[X]:(strong(X))))&
(![X]:((old(X)|~quiet(X))=>(curious(X)&~brave(X))))&
(((wise(paul)<~>~old(paul)))=>(tall(fred)))&
(![X]:((~quiet(X)&~patient(X))=>(~tall(X)&old(X))))&
(![X]:((~quiet(X)&qui... | ~humble(fred) | [] | null | 0 |
If paul is either strong or creative then someone is either rich or not patient and vice versa. If mary is both quiet and not wise then susan is not generous and vice versa. If someone is brave then susan is either creative or calm and vice versa. If fred is not brave or brave then someone is strong and vice versa. If ... | Susan is not patient. | neutral | (((strong(paul)<~>creative(paul)))<=>(?[X]:((rich(X)<~>~patient(X)))))&
(((quiet(mary)&~wise(mary)))<=>(~generous(susan)))&
((?[X]:(brave(X)))<=>((creative(susan)<~>calm(susan))))&
(((~brave(fred)|brave(fred)))<=>(?[X]:(strong(X))))&
((?[X]:(~rich(X)))<=>(?[X]:((~happy(X)<~>wise(X)))))&
((?[X]:((tall(X)&~wise(X))))<=>(... | ~patient(susan) | [] | null | 0 |
If someone is both strong and not funny then paul is wise or not kind.
Everyone who is both humble and calm is either humble or not old.
Everyone who is calm or not strong is both calm and quiet and vice versa.
Everyone who is either not strong or funny is strong or calm and vice versa.
If susan is tall then someone is... | Susan is not creative. | neutral | ((?[X]:((strong(X)&~funny(X))))=>((wise(paul)|~kind(paul))))&
(![X]:((humble(X)&calm(X))=>(humble(X)<~>~old(X))))&
(![X]:((calm(X)|~strong(X))<=>(calm(X)&quiet(X))))&
(![X]:((~strong(X)<~>funny(X))<=>(strong(X)|calm(X))))&
((tall(susan))<=>(?[X]:(~calm(X))))&
((~generous(mary))<=>((~rich(lucy)<~>wise(lucy))))&
(![X]:((... | ~creative(susan) | [] | null | 0 |
If someone is generous then someone is both quiet and not tall.
Everyone who is not curious is not kind or creative.
Everyone who is not curious or rich is either not curious or humble.
Everyone who is happy is not happy.
Everyone who is calm or tall is either funny or not humble and vice versa.
If someone is either no... | Fred is not kind. | neutral | ((?[X]:(generous(X)))=>(?[X]:((quiet(X)&~tall(X)))))&
(![X]:(~curious(X)=>(~kind(X)|creative(X))))&
(![X]:((~curious(X)|rich(X))=>(~curious(X)<~>humble(X))))&
(![X]:(happy(X)=>~happy(X)))&
(![X]:((calm(X)|tall(X))<=>(funny(X)<~>~humble(X))))&
((?[X]:((~happy(X)<~>~generous(X))))<=>(creative(fred)))&
(![X]:((~humble(X)|... | ~kind(fred) | [] | null | 0 |
If paul is either rich or not curious then fred is not curious or not creative.
Everyone who is not tall or brave is not quiet and vice versa.
If someone is old or quiet then fred is rich or curious and vice versa.
Everyone who is curious is either rich or humble and vice versa.
Everyone who is both brave and tall is n... | Paul is not humble. | neutral | (((rich(paul)<~>~curious(paul)))=>((~curious(fred)|~creative(fred))))&
(![X]:((~tall(X)|brave(X))<=>~quiet(X)))&
((?[X]:((old(X)|quiet(X))))<=>((rich(fred)|curious(fred))))&
(![X]:(curious(X)<=>(rich(X)<~>humble(X))))&
(![X]:((brave(X)&tall(X))=>(~tall(X)|~curious(X))))&
(![X]:(humble(X)<=>(old(X)<~>~patient(X))))&
(![... | ~humble(paul) | [] | null | 0 |
Everyone who is old or not wise is wise and vice versa.
Everyone who is not curious is both not funny and not brave.
If susan is generous or not patient then mary is either strong or tall and vice versa.
Everyone who is not wise or calm is either not creative or calm.
If john is both brave and tall then susan is not pa... | John is quiet. | neutral | (![X]:((old(X)|~wise(X))<=>wise(X)))&
(![X]:(~curious(X)=>(~funny(X)&~brave(X))))&
(((generous(susan)|~patient(susan)))<=>((strong(mary)<~>tall(mary))))&
(![X]:((~wise(X)|calm(X))=>(~creative(X)<~>calm(X))))&
(((brave(john)&tall(john)))<=>(~patient(susan)))&
(![X]:((~humble(X)<~>~rich(X))<=>(~creative(X)<~>~generous(X)... | quiet(john) | [] | null | 0 |
If paul is both rich and wise then susan is either generous or not rich.
Everyone who is both not happy and not curious is not happy and vice versa.
Everyone who is both wise and not generous is tall or not wise and vice versa.
Everyone who is wise or humble is not wise or generous and vice versa.
If susan is not happy... | Alice is strong. | entailment | (((rich(paul)&wise(paul)))=>((generous(susan)<~>~rich(susan))))&
(![X]:((~happy(X)&~curious(X))<=>~happy(X)))&
(![X]:((wise(X)&~generous(X))<=>(tall(X)|~wise(X))))&
(![X]:((wise(X)|humble(X))<=>(~wise(X)|generous(X))))&
((~happy(susan))=>(?[X]:((funny(X)&~funny(X)))))&
(![X]:((calm(X)<~>quiet(X))=>(funny(X)|patient(X))... | strong(alice) | [
"p2",
"p3",
"p7",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3265644839505449771231320
% SZS output start Proof for 3265644839505449771231320
3. ! [X0] : ((~generous(X0) & wise(X0)) <=> (~wise(X0) | tall(X0))) [input p2]
4. ! [X0] : ((humble(X0) | wise(X0)) <=> (generous(X0) | ~wise(X0))) [input p3]
8. ! [X0] : ((~wise(X0) | ~quiet(X0)) <=> strong(... | 0 |
Everyone who is either not curious or not patient is either calm or not creative and vice versa.
If someone is not kind then someone is funny or patient and vice versa.
Everyone who is both wise and quiet is either not quiet or calm and vice versa.
If someone is not old or curious then lucy is either not kind or old an... | Fred is patient. | neutral | (![X]:((~curious(X)<~>~patient(X))<=>(calm(X)<~>~creative(X))))&
((?[X]:(~kind(X)))<=>(?[X]:((funny(X)|patient(X)))))&
(![X]:((wise(X)&quiet(X))<=>(~quiet(X)<~>calm(X))))&
((?[X]:((~old(X)|curious(X))))<=>((~kind(lucy)<~>old(lucy))))&
(![X]:(happy(X)=>~happy(X)))&
(![X]:((~calm(X)|~generous(X))<=>(calm(X)<~>~happy(X)))... | patient(fred) | [] | null | 0 |
If someone is either humble or brave then mary is not rich or not tall. Everyone who is not patient or not quiet is either not strong or not humble and vice versa. If fred is either not patient or not strong then susan is either strong or not quiet and vice versa. Everyone who is creative is both calm and strong and vi... | Paul is generous. | neutral | ((?[X]:((humble(X)<~>brave(X))))=>((~rich(mary)|~tall(mary))))&
(![X]:((~patient(X)|~quiet(X))<=>(~strong(X)<~>~humble(X))))&
(((~patient(fred)<~>~strong(fred)))<=>((strong(susan)<~>~quiet(susan))))&
(![X]:(creative(X)<=>(calm(X)&strong(X))))&
(![X]:((~quiet(X)&~creative(X))<=>(rich(X)|~happy(X))))&
(![X]:((brave(X)&~s... | generous(paul) | [] | null | 0 |
Everyone who is calm is either not rich or brave and vice versa.
If mary is both not tall and tall then someone is not brave or not kind.
If someone is both not tall and calm then lucy is either creative or not old.
If fred is not wise or not rich then someone is rich and vice versa.
Everyone who is both not old and st... | Lucy is not quiet. | entailment | (![X]:(calm(X)<=>(~rich(X)<~>brave(X))))&
(((~tall(mary)&tall(mary)))=>(?[X]:((~brave(X)|~kind(X)))))&
((?[X]:((~tall(X)&calm(X))))=>((creative(lucy)<~>~old(lucy))))&
(((~wise(fred)|~rich(fred)))<=>(?[X]:(rich(X))))&
(![X]:((~old(X)&strong(X))=>(~wise(X)|wise(X))))&
((?[X]:((~old(X)<~>tall(X))))=>(?[X]:(~quiet(X))))&
(... | ~quiet(lucy) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1090662303841291647488259
% SZS output start Proof for 1090662303841291647488259
13. ! [X0] : (quiet(X0) <=> (~rich(X0) & ~quiet(X0))) [input p12]
23. quiet(lucy) [input hypothesis]
61. ! [X0] : ((quiet(X0) | (rich(X0) | quiet(X0))) & ((~rich(X0) & ~quiet(X0)) | ~quiet(X0))) [nnf transfor... | 0 |
If mary is both not brave and quiet then someone is tall and vice versa.
Everyone who is both kind and not quiet is old.
Everyone who is both not patient and wise is either not rich or wise and vice versa.
If someone is not brave or not kind then susan is not calm and vice versa.
Everyone who is not funny or funny is e... | Mary is strong. | entailment | (((~brave(mary)&quiet(mary)))<=>(?[X]:(tall(X))))&
(![X]:((kind(X)&~quiet(X))=>old(X)))&
(![X]:((~patient(X)&wise(X))<=>(~rich(X)<~>wise(X))))&
((?[X]:((~brave(X)|~kind(X))))<=>(~calm(susan)))&
(![X]:((~funny(X)|funny(X))<=>(~calm(X)<~>~tall(X))))&
((?[X]:(~kind(X)))<=>(?[X]:(~strong(X))))&
(![X]:((wise(X)<~>~wise(X))=... | strong(mary) | [
"p3",
"p4",
"p5",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 7920977675786437188766707
% SZS output start Proof for 7920977675786437188766707
4. ? [X0] : (~kind(X0) | ~brave(X0)) <=> ~calm(susan) [input p3]
5. ! [X0] : ((funny(X0) | ~funny(X0)) <=> (~calm(X0) <~> ~tall(X0))) [input p4]
6. ? [X0] : ~kind(X0) <=> ? [X0] : ~strong(X0) [input p5]
7. ! ... | 0 |
If john is both not quiet and not generous then alice is kind or not curious and vice versa.
If john is both not strong and not rich then susan is funny or not patient and vice versa.
Everyone who is humble or happy is funny or happy.
Everyone who is either quiet or calm is tall or not quiet and vice versa.
If alice is... | Mary is not wise. | entailment | (((~quiet(john)&~generous(john)))<=>((kind(alice)|~curious(alice))))&
(((~strong(john)&~rich(john)))<=>((funny(susan)|~patient(susan))))&
(![X]:((humble(X)|happy(X))=>(funny(X)|happy(X))))&
(![X]:((quiet(X)<~>calm(X))<=>(tall(X)|~quiet(X))))&
(((~quiet(alice)<~>curious(alice)))<=>(?[X]:((~wise(X)<~>funny(X)))))&
((tall... | ~wise(mary) | [
"p6",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 483380030934865793979803
% SZS output start Proof for 483380030934865793979803
7. ! [X0] : ((~tall(X0) | wise(X0)) <=> kind(X0)) [input p6]
9. ! [X0] : ((generous(X0) | kind(X0)) => (wise(X0) & humble(X0))) [input p8]
11. ! [X0] : (humble(X0) <=> (creative(X0) & ~kind(X0))) [input p10]
25... | 0 |
Everyone who is not tall or not creative is generous or not generous.
Everyone who is old or quiet is both not rich and not happy and vice versa.
Everyone who is not strong is both strong and kind and vice versa.
Everyone who is not rich is both brave and not creative.
If mary is either creative or calm then alice is e... | Susan is curious. | contradiction | (![X]:((~tall(X)|~creative(X))=>(generous(X)|~generous(X))))&
(![X]:((old(X)|quiet(X))<=>(~rich(X)&~happy(X))))&
(![X]:(~strong(X)<=>(strong(X)&kind(X))))&
(![X]:(~rich(X)=>(brave(X)&~creative(X))))&
(((creative(mary)<~>calm(mary)))=>((~old(alice)<~>~tall(alice))))&
(![X]:((~strong(X)|~creative(X))=>(~quiet(X)&~curious... | curious(susan) | [
"p2",
"p3",
"p5",
"p7",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 7052620350678992369982761
% SZS output start Proof for 7052620350678992369982761
3. ! [X0] : (~strong(X0) <=> (kind(X0) & strong(X0))) [input p2]
4. ! [X0] : (~rich(X0) => (~creative(X0) & brave(X0))) [input p3]
6. ! [X0] : ((~creative(X0) | ~strong(X0)) => (~curious(X0) & ~quiet(X0))) [i... | 0 |
Everyone who is kind is wise and vice versa.
If someone is both rich and happy then alice is not funny or brave.
Everyone who is either not kind or not curious is curious and vice versa.
If fred is kind or happy then someone is both curious and generous.
Everyone who is either rich or calm is not calm.
If mary is both ... | Susan is calm. | entailment | (![X]:(kind(X)<=>wise(X)))&
((?[X]:((rich(X)&happy(X))))=>((~funny(alice)|brave(alice))))&
(![X]:((~kind(X)<~>~curious(X))<=>curious(X)))&
(((kind(fred)|happy(fred)))=>(?[X]:((curious(X)&generous(X)))))&
(![X]:((rich(X)<~>calm(X))=>~calm(X)))&
(((kind(mary)&tall(mary)))<=>(?[X]:((~tall(X)|~calm(X)))))&
((?[X]:(~rich(X)... | calm(susan) | [
"p2",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 7858460294486318070543005
% SZS output start Proof for 7858460294486318070543005
3. ! [X0] : ((~kind(X0) <~> ~curious(X0)) <=> curious(X0)) [input p2]
6. (tall(mary) & kind(mary)) <=> ? [X0] : (~calm(X0) | ~tall(X0)) [input p5]
24. ~calm(susan) [input hypothesis]
39. ! [X0] : ((((curious(... | 0 |
If someone is either wise or not generous then fred is rich or not generous and vice versa.
Everyone who is generous is either not old or not humble and vice versa.
If susan is either humble or strong then someone is both not kind and not old.
Everyone who is not tall or old is both wise and kind.
Everyone who is both ... | Fred is not funny. | neutral | ((?[X]:((wise(X)<~>~generous(X))))<=>((rich(fred)|~generous(fred))))&
(![X]:(generous(X)<=>(~old(X)<~>~humble(X))))&
(((humble(susan)<~>strong(susan)))=>(?[X]:((~kind(X)&~old(X)))))&
(![X]:((~tall(X)|old(X))=>(wise(X)&kind(X))))&
(![X]:((~funny(X)&~brave(X))=>(~old(X)<~>old(X))))&
((?[X]:(funny(X)))<=>((~rich(paul)&~ge... | ~funny(fred) | [] | null | 0 |
Everyone who is not patient is both not rich and not patient.
If someone is both curious and humble then paul is not brave.
If mary is calm or rich then someone is humble or wise.
Everyone who is not calm or tall is both humble and rich and vice versa.
If someone is not creative or not happy then someone is wise.
Every... | Alice is humble. | entailment | (![X]:(~patient(X)=>(~rich(X)&~patient(X))))&
((?[X]:((curious(X)&humble(X))))=>(~brave(paul)))&
(((calm(mary)|rich(mary)))=>(?[X]:((humble(X)|wise(X)))))&
(![X]:((~calm(X)|tall(X))<=>(humble(X)&rich(X))))&
((?[X]:((~creative(X)|~happy(X))))=>(?[X]:(wise(X))))&
(![X]:(~humble(X)=>humble(X)))&
((tall(lucy))<=>(?[X]:((qu... | humble(alice) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 6913427417253680668615825
% SZS output start Proof for 6913427417253680668615825
6. ! [X0] : (~humble(X0) => humble(X0)) [input p5]
23. ~humble(alice) [input hypothesis]
32. ! [X0] : (humble(X0) | humble(X0)) [ennf transformation 6]
86. humble(X0) | humble(X0) [cnf transformation 32]
125.... | 0 |
Everyone who is both not quiet and not strong is not curious.
Everyone who is not generous or not kind is strong or happy and vice versa.
If someone is both brave and not wise then someone is both not happy and not funny and vice versa.
If john is not humble then fred is not tall or not creative and vice versa.
Everyon... | Fred is brave. | neutral | (![X]:((~quiet(X)&~strong(X))=>~curious(X)))&
(![X]:((~generous(X)|~kind(X))<=>(strong(X)|happy(X))))&
((?[X]:((brave(X)&~wise(X))))<=>(?[X]:((~happy(X)&~funny(X)))))&
((~humble(john))<=>((~tall(fred)|~creative(fred))))&
(![X]:(~funny(X)<=>(~quiet(X)<~>~generous(X))))&
((?[X]:((~patient(X)&brave(X))))<=>(?[X]:(~wise(X)... | brave(fred) | [] | null | 0 |
Everyone who is old is both not curious and not old.
Everyone who is not happy is kind or not wise and vice versa.
If fred is either not tall or not funny then paul is either rich or humble and vice versa.
Everyone who is either generous or not creative is either not patient or creative and vice versa.
If someone is cr... | Paul is humble. | neutral | (![X]:(old(X)=>(~curious(X)&~old(X))))&
(![X]:(~happy(X)<=>(kind(X)|~wise(X))))&
(((~tall(fred)<~>~funny(fred)))<=>((rich(paul)<~>humble(paul))))&
(![X]:((generous(X)<~>~creative(X))<=>(~patient(X)<~>creative(X))))&
((?[X]:((creative(X)|~funny(X))))=>(?[X]:((~generous(X)&humble(X)))))&
(((calm(mary)<~>old(mary)))<=>(?[... | humble(paul) | [] | null | 0 |
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